Only he can answer that.
Part of it depends on WHY he doesn't want you to have a phone. If it's just because he doesn't want to pay for it ... Since your mom's paying for it, that's not a concern. If it's because he thinks you're not responsible enough - you would need to show you are.
Of course, if your mom has visitation ... And your dad doesn't want you to have a phone ... You would have to leave it with her, and use it when visiting her.