Certainly is. When God draws man has a choice to make...
Based on what do you make this assuption? The word draw has nothing to do with
you inserting the word freewill or choice. In fact the words freewill or choice are totally contrary to the word draw. The word draw is used eight times in the NT and bever does it speak of choice or freewill.
What The words translated "draw" and "drew" in the Greek New Testament are HELKUO and HELKO. Each of these words has the basic meaning of "compel ... .. draw," "pull," and "tug." In most instances the force which does the drawing or compelling is sufficient to cause the object of the drawing to respond fully. For example, in Jn. 18:10, it is said that "Peter having a sword DREW it..." The impetuous disciple most assuredly did not draw the weapon out of its sheath in a gingerly or wooing fashion. Nor did the sword seek to draw itself out by its own will and good pleasure! Peter didn't merely "invite" the sword to come out, in spite of any resistance the blade may have had as it dragged the leather scabbard, the muscular arm of Peter yanked it forcefully out in obedience to his will.
The words HELKO and HELKUO may be found
eight times in the Greek New Testament. I have already mentioned the passage in which Peter forcibly drew his sword from its sheath to cut off the ear of Malchus. Other passages contain the idea of force connected with this word, such as in Jn. 21:6, where we find that the load of fish was so huge that the disciples could not haul it aboard the boat. Their seasoned muscles were not able to pull such a great weight out of the water, for John says, "Now they were not able to DRAW it for the multitude of fish." Yet, a moment later, Simon Peter hauls the net through the water and up to the shore. This again is referred to as "drawing" the netload of fish with a force that is not resisted.
When the apostle James wishes to describe the manner in which rich men forcibly drag those who are indebted to them to prison, he uses the word HELKO. In James 2:6 he writes, "Do not rich men oppress you and DRAW you before the judgment seats?" This "drawing," of course, was not with wooing or pleading! It was an act of force that absolutely took no care of the willingness of the person drawn! The poor man might resist ever so much, and he might cry and plead, but he was drawn irresistibly to the place of judgment! It is with precisely this kind of forceful drawing that the Lord Jesus is talking when He says, "And I, if I be lifted up from the earth, will DRAW all drawn unto me!" And, thank God, they are not just drawn "toward" Him, but UNTO HIM --all the way! Because the Christ was "lifted up" on the cross of Calvary, dying on behalf of every man of Adam's race, the promise is sure, He will inexorably DRAW all men unto Himself! The divine plan calls for the Church, the body of Christ, to be drawn to Him in this age, all the living nations of the world to be drawn to Him in the next age, and the remainder of men, all who have ever lived and died upon this planet in the ages to come.
Another example of the use of the Greek work HELKO which shows that the drawing is by force and in spite of the resistance of the one drawn, is in Acts 16:19. When Paul and Silas were vexed by the demonic slave girl, Paul cast the evil spirit out of her. Her masters saw that all hope of profit was gone, so they grabbed the two servants of Jesus and forcibly dragged them to the judges in the market place. We read: "And when her masters saw that the hope of their gain was gone, they caught Paul and Silas, and DREW them into the market place unto the rulers." This was not an act in which the persons drawn delighted to cooperate. No, it was an act of force which "compelled" them to go where they would not have preferred to go! So it is with man who is spiritually dead and happy to follow the devil to hell because he prefers darkness to light. He does not "come to Jesus" of his own "free will." If he has eyes to see and ears to hear the Lord it is because God has quickened his spirit and opened his spiritual sight and unplugged his spiritual ears, as it is written, "The hearing ear, and the seeing eye, the LORD hath made even both of them! " (Prov. 20:12).
Still another instance in which the Greek word HELKO is translated "draw," when it refers to taking by force and overcoming all resistance, is Acts 21:30. Paul is seen in the temple at Jerusalem, and the Jews are so aroused by the presence of this apostle of Jesus that they incite the mob to lynch him if at all possible. They did not gently invite him to "please leave," nor did they "lovingly" draw him out of the place. No, they grabbed him forcibly, determined to haul him out of their holy house. The Scripture declares that "All the city was moved, and the people ran together; and they took Paul, and DREW him out of the temple, and at once the doors were shut." Of course he was rescued at this point by the Roman soldiers before the Jews could kill him for desecrating the temple by his presence. The point is that "draw" speaks of violence and force, not gentle persuasion.