Could we build a starship using current technology?

[scc]

Originally Posted by Johnny1A.2

The chances are approximately halfway between zero and nil.

One gee for 1 year, I mean that's well into relativistic territory. You're talking about more energy used by the starship than the entire Earth uses. We don't even have a theoretical idea of how to do such a thing. The closest dreamy SFnal concept would be the Bussard ramjet, and we certainly can't build one of those right now (and there's reason to think the concept itself is unworkable).

I calculated how fast a ship would be going after accelerating at 1 G for a year once, without accounting for time dilation, and if I remember correctly you're going at ~.99C