Is it possible to resize in a non uniform way in PS?

Let's say I have an image of a chessboard and I want to stretch it vertically so it's height is double it's width. But I want to do it in a non-uniform way. I want the top squares to remain square, then the next row of squares to be slightly wider, the next even wider and so on. Some kind of gradual resize, if you will, so I can have the least distortion on top and the most at the bottom. Is that a thing in PS? (A chessboard is just an example, I'm actually trying to resize a part of an image but make it unnoticeable)