No. The vast majority of foldable poker tables, especially high-quality ones, will be designed with surface felt that prevents cards from becoming lodged in the fold.
However, if this is a problem you are experiencing with a fold up poker table it’s an issue that is very easy to fix by buying a poker mat. A poker mat is an extremely low-cost addition to a table that helps prevent slippage, and many feature printed gameplay modes, like blackjack.
However, for the vast vast majority of foldable poker tables, a purchase of a mat will not be necessary.