From what I understand, no. The only thing that compresses is the air inside your lungs, but you keep on breathing in & out pressure compensated air, so the buoyancy difference doesn't change as you go down. Neoprene compression has a fairly large effect, pounds worth of buoyancy. Look at this spreadsheet for example, at depth you lose 11.6 pounds of buoyancy due to the neoprene compressing:
https://www.scubaboard.com/community/threads/the-ultimate-wi...