I consider deep space to be between the stars. Even if we had kept the pace we were going deep space wouldn’t be in our lifetimes but it might have been within the lifetimes of our grandchildren.
To even consider sending men to deep space, we’ve got to get propulsion systems that can get us to at least 1/16 of lightspeed or more. Even then, there’s no reason to send men out to between the stars to do what unmanned craft can do. We need a destination to send men to.