YES.<p>Remember that the only condition for a star ship, is to be able to have thrust all the time. Even a very small thrust is enough to reach relativistic speeds, and therefore make the travel-time human-scale. FOR THE TRAVELERS!<p>Now, the problem is that unless the travelers include the trillionaire that will finance the projects, nobody will want to finance a travel, where the travellers reach the destination after their dead, and can give back news only after the payers' children are dead.<p>But travelling one year on board to reach Proxima Centauri (4 light years away) wouldn't even be tiring for the traveller.<p>(Ok, perhaps we could pay for this destination, after all, we'd get news about landing ten years later).
We've already sent 5 unmanned probes meant for interstellar space, one of them Voyager 1 is in interstellar space. Sending actual people is a tremendously hard thing to do, sending probes is much easier, we already have they're just moving so slowly it will probably take 300 years to reach Alpha Centauri.