Not myself, but a very good friend tried that. He submitted all the paperwork electronically and went to Estonia for a week to open a bank account. From the 3 banks that are supporting E-residency they all denied to open the account. One of the managers he talked with explained that the bank do not open accounts without physical address in Estonia. Probably that will change, but that's experience from end of September this year. Not to mention the disappointment for the whole process, which is not as advertised, although he did a very nice trip to the country itself and was worth it (his words).