Is two-week closing feasible?

[Alex G.]

We received a counteroffer from a REO seller saying that we "MUST agree to non-refundable EMD held by seller’s title and a 2 week closing. Do NOT accept in REOC, Only counter with the same terms."

Is it a two-week feasible in Maine?  If yes, which title and closing company would you recommend?

P.S. The EMD is 10% of the purchase prices. Our offer has no contingencies but we do need title insurance.