The popular perception certainly thinks so. When I tell people that I'm into astrophysics and they ask what I want to go into, they often ask if I want to go into NASA. But I don't see NASA as a common profession for astrophysicists (it's really the planetary scientists/earth scientists who work more with NASA). And NASA is all about building probes, so it also has many engineers. But does it employ a significant number of astrophysicists? Do prospective astrophysicists see it as a viable option?