Maybe. Consider the game 23 Sisters. I played it when it was nearly finished, and I lost track of everyone even just halfway through the game. It eventually ended up something around 40+ love interests when your daughters and granddaughters were all factored in.
I think anything over 20 is pushing it, especially if they aren't unique enough from each other. But if they're uniquely designed, get enough screen time each, and have memorable personalities, then maybe as many as 25. But that's hard to do and give enough time to each.