Is it normal to not want to live with your partner?
Depends.It depends
Yes, it can be normal not to want to live with your partner. Some people love a relationship but prefer having their own space and home.
Living together isn’t the right next step for every couple. You might value your privacy, routines, or independence, or simply feel happier with a home of your own. That doesn’t automatically mean you love your partner less or that something is wrong with the relationship.
The important part is being honest about what you want and why. If your partner hopes to live together and you don’t, talk about what each of you expects for the future; a difference in preferences may be workable, but it’s better not to leave either person guessing.