There was a time when going to the Moon was impossible.
Heck, there was a time when sailing across the ocean was impossible.
We are a clever species and always learning. What is impossible today might not be tomorrow.
I think there is a way for humans to travel between the stars, and we just have to find it. And yes, it will be a learning experience as we overcome the obstacles we meet along the way. But that has always been the case when human journey into new territory for the first time.