If you take the time to examine that language in the manuscripts, you would see that there is nothing therein the language which locks in the meaning that you allege.
The KJV rendering with Strong's Concordance numbering -
Gen 3:22 And the LORDH3068 GodH430 said,H559 Behold,H2005 the manH120 is becomeH1961 as oneH259 ofH4480 us, to knowH3045 goodH2896 and evil:H7451 and now,H6258 lestH6435 he put forthH7971 his hand,H3027 and takeH3947 alsoH1571 of the treeH4480 H6086 of life,H2416 and eat,H398 and liveH2425 for ever:H5769
The English rendered word 'forth', 'hand', and 'take' in Strong's -
H7971
שׁלח
shâlach
shaw-lakh'
A primitive root; to send away, for, or out (in a great variety of applications): - X any wise, appoint, bring (on the way), cast (away, out), conduct, X earnestly, forsake, give (up), grow long, lay, leave, let depart (down, go, loose), push away, put (away, forth, in, out), reach forth, send (away, forth, out), set, shoot (forth, out), sow, spread, stretch forth (out).
H3027
יד
yâd
yawd
A primitive word; a hand (the open one (indicating power, means, direction, etc.), in distinction from H3709, the closed one); used (as noun, adverb, etc.) in a great variety of applications, both literally and figuratively, both proximate and remote: - (+ be) able, X about, + armholes, at, axletree, because of, beside, border, X bounty, + broad, [broken-] handed, X by, charge, coast, + consecrate, + creditor, custody, debt, dominion, X enough, + fellowship, force, X from, hand [-staves, -y work], X he, himself, X in, labour, + large, ledge, [left-] handed, means, X mine, ministry, near, X of, X order, ordinance, X our, parts, pain, power, X presumptuously, service, side, sore, state, stay, draw with strength, stroke, + swear, terror, X thee, X by them, X them-selves, X thine own, X thou, through, X throwing, + thumb, times, X to, X under, X us, X wait on, [way-] side, where, + wide, X with (him, me, you), work, + yield, X your-selves.
H3947
לקח
lâqach
law-kakh'
A primitive root; to take (in the widest variety of applications): - accept, bring, buy, carry away, drawn, fetch, get, infold, X many, mingle, place, receive (-ing), reserve, seize, send for, take (away, -ing, up), use, win.
There is nothing in the manuscripts which locks the literal interpretation that you allege is true.