Its not so much the openning thats the issue, its the contributions. Example you could open 2 Isas in the same year and only contribute to one. The one that has not been contributed to could be used to perform an isa transfer. This is where pre exsisting money (say for example 2009/10 tax yr money to an up to date product paying better rates) can be moved from one isa account to another. Please note this a different process compared to money transfer such as bacs/chaps/faster payment etc.