You can try getting permanent resident status, which does means you have not made aliyah.
If you’re only here for the year, why do you need to open a bank account? I know many, many, many kids who have come to learn from America, and none of them have an Israeli account. You can get a cell phone plan in America that works here, so you don’t need to sign up for an Israeli plan.
I certainly would not just make up a number – I’m sure these places check the applications, and on most applications you are affixing your signature indicating that the information you gave is true.