I'm just a forum member and not connected with the team ...
I was lucky enough to take part in the early stress tests, so I base my comments on that, nothing more.
I run 2 GTX 770s in SLI. Realistically, that's one 2Gb graphics card.
My normal resolution is 1080x1900, running 2 monitors.
In the stress tests, I ran the greatest resolution I could. Well, I was bug hunting, as we all will be in the Alpha release.
Based on the above, I'll say yes.
You should even be able to crank that up a bit.
I'm not sure if even the Dev team or the staff over at allgamer know how this will pan out on release.
A lot will depend on other factors apart from your graphics card.
But, in my personal opinion, you'll be fine