Probably not. Could kinda depend on what kind of pot, and how hot you crank the burner. And also what kind of “burner” it is. But probably not. Electric coil and induction I would imagine are more likely to warp a pan, probably moreso induction than electric coil.

And single ply stainless and carbon steel seem like they’d be more prone to warping. But pots don’t really warp much, unlike pans which sometimes do. Cast iron definitely won’t warp, and a gas stove is unlikely to warp anything because the radiant nature of the heat it produces is less prone to creating hotspots

If a pot/pan is gonna warp, usually unless you MASSIVELY overheated it, it will return to shape after it cools down: so pay attention to the pot if its somewhat cheaply made and if you notice its not sitting flat while cooking, maybe be mindful not to crank the heat super duper hot with that pot

Ultimately, its extremely unlikely you have anything to worry about, and any potential issues can be managed by paying a little attention

Hope this helps :)