Bargaining Table cast opponent draw cards more cost magic rules

[computer]

If I cast a Bargaining Table

and lets say other player has 2 cards in his hand

can he respond with a card such as Gush to make bargaining table cost more?

[Arix]

I assume by "cast Bargaining Table" you mean "activate Bargaining Table's ability".

No, he can't. By the time he can respond with anything, you've already paid the cost.