I don't think you have to cut the option of making parties at all! But if a game asks the player to make a party, the system design should not be such that new players have to be extremely prescient and forward-thinking to avoid making a terrible group of characters. For example, in 1st Edition AD&D, demihumans often had level limits. If you missed this fact, you could make a totally viable character -- right up until you hit the leveling wall. Once that happens, you're essentially stuck.
Very few non-MMO RPGs allow character respec, but I think character respec is another good way to address balance range issues in games with a huge amount of character variety. You thought it was a good idea to make a party of Genasi Bards called Earth, Wind, and Fire. It was not a good idea, so if you accept a small cost, you can rebuild some -- or all -- aspects of your characters.