It's an interesting idea, for sure. There are a couple of questions I'd have about it, though:
1. Gravitational waves are only generated in any significance by ridiculously energetic events (two large-mass black holes colliding, and then only for a few seconds in the last moments as they spin around each other).
2. And even then, they are so pathetically tiny that we'd barely notice them without stupidly sensitive equipment.
3. In particular, they only represent *local* disturbances in spacetime that quickly move on, while the matter is left behind wondering what all that was.
4. So how do you scale this up in order to make the waves (a) bigger, and (b) capable of propelling matter any significant distance.
The answer is that you don't. Even if this fell within the realm of engineering challenge, this wouldn't be all that different from trying to design a helicopter as a sensible solution for going from your house to your next-door neighbours'. Just walk :P
There will, no doubt, be other ways that we can viably explore the stars without deciding which of those stars we should next blow up! For my part, a more viable solution is to explore the concept of safe "sleeper ships".