Yes you can. Just open a new basic account with the new bank and it'll process the seven-day switch for you. That means they'll move over all your payments going out, coming in and notify your old bank to close the account.
It'll also move payments meant to go into your old account into the new one, for example, your salary. If something goes wrong, the bots behind the scenes sort it, so for at least three years any money paid into the old account or wrongly earmarked to come out of that account is transferred to the new one. Also, if you're hit with any charges due to an error in the switch, this should be refunded by the new bank.
Read full info about bank switching and how it works.