I'm not sure what you mean by a Christian "having" works. If you mean "do" works (or more properly, do work), then no I don't think so. Suppose a person is incapable of working. Does that mean that s/he is not Christian? Better not go near any Christian "old folks homes".
What is meant by this Jay:
Mt 25:14 For the kingdom of heaven is as a man travelling into a far country, who called his own servants, and delivered unto them his goods.
Mt 25:15 And unto one he gave five talents *, to another two, and to another one; to every man according to his several ability; and straightway took his journey.
Mt 25:16 Then he that had received the five talents went and traded with the same, and made them other five talents.
Mt 25:17 And likewise he that had received two, he also gained other two.
Mt 25:18 But he that had received one went and digged in the earth, and hid his lord's money.
Mt 25:19 After a long time the lord of those servants cometh, and reckoneth * with them.
Mt 25:20 And so he that had received five talents came and brought other five talents, saying, Lord, thou deliveredst unto me five talents: behold, I have gained beside them five talents more.
Mt 25:21 * His lord said unto him, Well done, thou good and faithful servant: thou hast been faithful over a few things, I will make thee ruler over many things: enter thou into the joy of thy lord.
Mt 25:22 He also that had received two talents came and said, Lord, thou deliveredst unto me two talents: behold, I have gained two other talents beside them.
Mt 25:23 His lord said unto him, Well done, good and faithful servant; thou hast been faithful over a few things, I will make thee ruler over many things: enter thou into the joy of thy lord.
Mt 25:24 Then he which had received the one talent came and said, Lord, I knew thee that thou art an hard man, reaping where thou hast not sown, and gathering where thou hast not strawed:
Mt 25:25 And I was afraid, and went and hid thy talent in the earth: lo, there thou hast that is thine.
Mt 25:26 * His lord answered and said unto him, Thou wicked and slothful servant, thou knewest that I reap where I sowed not, and gather where I have not strawed:
Mt 25:27 Thou oughtest therefore to have put my money to the exchangers, and then at my coming I should have received mine own with usury.
Mt 25:28 Take therefore the talent from him, and give it unto him which hath ten talents.
Kind of lengthy sir, but it addresses your concerns, are you able to see that Jay?
Consider this example as well:
Mr 12:41 And Jesus sat over against the treasury, and beheld how the people cast money into the treasury: and many that were rich cast in much.
Mr 12:42 And there came a certain poor widow, and she threw in two mites, which make a farthing.
Mr 12:43 And he called unto him his disciples, and saith unto them, Verily I say unto you, That this poor widow hath cast more in, than all they which have cast into the treasury:
Mr 12:44 For all they did cast in of their abundance; but she * of her want did cast in all that she had, even all her living.
These accounts should clarify it for you Jay.