Mine are yet to hit the teenage years. But no, you are more than entitled to a life on your own!
But what they think constitutes that, may differ from your ideas?
Do you mean just enjoying some time with other adults, or do you mean introducing them to a new partner?
Two totally different scenarios. One with more pitfalls than the other. Both needing different approaches.

Good Luck. And even when they have you screaming, we know it is far better to have them don't we, and all their little foibles!