yes,
for the first opening it is a good idea to have somebody local, dominican or expat, the procedures are easier. after you are a client of a bank for any account you have no problem to open additional accounts at the same bank or at any other banks. the next bank by your cedula or passport number or name can see that you are a trustable customer of an other bank and they will easily give you accounts at their branch, too. it is just at the beginning when all the stuff get's asked, or for a 'confiable' aso.
Mike