Yes, I’ve seen a couple of shows on Dr. Chang-Diaz engine. Sub light isn’t going to cut if for those long distances, but it will open up the solar system and we have some very interesting stuff right at home.
Relativity is our friend. If you can get to a high-enough fraction of c, from the traveller's perspective most trips would only last a few months. I can envision a scenario where the spacecraft is accelerated at 1G, coasts at a very high speed, then turns around and decelerates at 1G to the destination. This would provide gravity for most of the trip, with the zero-g portion of the trip being very brief for the travellers.