Well it did not let me do it when I tried (several months ago). I had to spend the Zen, just to find out that the starting story was identical to the Romulan one. Just glad it was not real money.
I'm going to make myself a Reman character at some point soon. But while I'm not expecting any major differences, one thing I'm keen to see is the Romulan featured episode series and chatting with my bro Obisek.