No; but if it is an "unfinished" basement there MUST be 1-GFI recept.
A counter in a rec room poses an interesting point. Not knowing the layout or dimensions of the room & counter doesn't help. The basic 6-12 spacing, and >24" have to be complied with; if the 'counter' fits between the required wall recept, then I will say "NO, you do not need any more by code.
Remember, the NEC is not a design manual, only the minimum requirements for your question.