Good afternoon,
When we opened our bank account, four years ago, we had to provide bank statements from our UK bank, passports and the contract of sale for the house. As I understand it you do need to visit in person, it was a long involved process which included several cups of coffee, Cypriot pastry's and discussions about the dreadful state of education these days(????). I suggest you visit your bank of choice over here and ask their advise. Unless someone else knows otherwise?
Kind regards