yes you can change to another A-kasse, regardless of you at the moment receive benefits or not.
You should only sign up with the new A-kasse. You should not cancel membership in your current A-kasse.
The new and the old A-kasse will find out everything about transfer earned rights i.e. membership periods, work/income, periods where you have received benefits, periods you still can receive benefits etc., to your new A-kasse.
And the membership in the old A-kasse will automatically be canceled, when everything is cleared between the two A-kasser.
Also they will ensure that you will only pay membership fee in one A-kasse. If you already have paid membership fee for coming period, then the old A-kasse will return money.