Yes, it's possible we'll become spacefaring someday, but right now today, things don't look so good.
Any one of a dozen sociopaths around the world could wipe out every living human in a couple hours by setting off a global nuclear war. It could be done on a whim; it could happen as a result of a stroke; it could be a bad ham sandwich that went down wrong.
We're in the age of global instant destruction right now today. Sustainable spacefaring is decades away at best, probably still centuries. The odds don't really look so good.
The Fermi Paradox is a pretty discouraging data point on the lifetime of technological societies, too.