Maybe. Depends why TempDB's growing.
If it's due to hash and sort spille, adding memory may help (optimising queries may help more). If it's due to temp tables and table variables, more memory won't help the TempDB size.
Gail Shaw
Microsoft Certified Master: SQL Server, MVP, M.Sc (Comp Sci)
SQL In The Wild: Discussions on DB performance with occasional diversions into recoverability