Scenario: It's Player A's move, and without executing a move he offers a draw. Player B replies "Please make a move". Player A then makes a move, where upon player B says: "Ok, I accept". Is it now possible for Player A to say that the draw offer no longer stands, and was in fact nullified when it was not originally accepted during the period between the offer and the move that Player A did?
No, Player A cannot do this. FIDE rules of chess article 9.1.1:
A player wishing to offer a draw shall do so after having made a move on the chessboard and before stopping his clock and starting the opponent’s clock. An offer at any other time during play is still valid but Article 12.6 must be considered. No conditions can be attached to the offer. In both cases the offer cannot be withdrawn and remains valid until the opponent accepts it, rejects it orally, rejects it by touching a piece with the intention of moving or capturing it, or the game is concluded in some other way.
Key parts highlighted. Player A made the draw offer at one of these "other times", so it's still valid and cannot be withdrawn. Player B asking player A to make a move, and player A actually making a move, are not one of the four actions that can terminate the draw offer, so the offer remains valid.