No, there's no limit. You can gain as much LP as you can earn, and get as many skills and as high of skill values as you'd like. The reason he was saying he was annoyed he accidentally bought swimming is that it's fairly useless with how easy boats are to get, and is dangerous to use.
There is sort of a limit on survival, once your survival reaches 200 raising it anymore is virtually useless, but if you like looking at mind-boggling numbers then go for it.
"Since all men count themselves righteous, and since no righteous man raises his hand against the innocent, a man need only strike another to make him evil."