No. Well, not in that way.
The online/tournament versions (at least of Golden Tee Fore! series and below) only use the "online" feature to do things such as upload/download player stats, allow for retrieval of player profile info, and allow for things like "Hole in Win!" which allowed a player (for a fee of something like $1.00) to win money if they get a hole-in-one on a qualifying hole.