Do soundcards have any effect on DSP power or lowering latency?

I typically set my latency to 256, but using Neural plugins can cause all types of clicks and noise because the computer isn’t strong enough to handle it. I have a Intel(R) Core™ i9-9940X CPU @ 3.30GHz 3.31 GHz and a 1080, 64 gigs of ram and 2080ti.

I have an apollo twin soundcard, but Im curious if I get a “better” soundcard, if that can allow me to lower the latency to 256 without clicks? What can I do to lower the latency, without freezing effects, bouncing, etc. ?