Imho, probably not. I run a RTX 3080 with my 8700K(@4.7ghz) and @ 3440x1440 the cpu hasn't held back the GPU in the games I've played, but I'm also not running low settings to try and get as much FPS as possible I like my games to look as good as possible while maintaining good FPS. Higher resolutions usually more GPU bound.
A way to check is to watch your cpu and gpu usage while gaming. If the cpu usage is ~100% and gpu usage is considerably lower then you could possibly gain some FPS with a faster CPU.