ahh not quite .
He didn't remove Noah he put him in an ark, and that being an ark Noah himself built, not God. No rapture there.
Abram , Lot and his wife had to flee, in fact Lot's wife was caught up in God's judgement by looking back, nope no rapture there either, and Lot's wife turning to stone is a good example of a Christian caught up in the fate of the wicked during the tribulation period.
In fact Christ taught that Christians will be on the earth during the tribulation, he even used Lot's wife as an example, as a warning to the christians who would go through the tribulation period:
Luk 17:31 In that day he who shall be on the housetop, and his goods in the house, let him not come down to take them away. And likewise, he who is in the field, let him not return to the things behind.
Luk 17:32 Remember Lot's wife.
Luk 17:33 Whoever shall seek to save his life shall lose it, and whoever shall lose his life shall preserve it.
Luk 17:34 I tell you, in that night there shall be two in one bed, the one shall be taken, and the other shall be left.
It begs the question why Christ would even bother to tell his disciples these things if Christ ever thought or taught they would be raptured? I suppose then the scripture should read: "and then Jesus said, don't worry about the tribulation, you'll be raptured beforehand, so I have no need to say anything more"
Only if God has raptured up Noah and Lot and Abram to heaven then set them down again on the earth after the judgements, might you have a case.