Local you mean in a local brick and mortar ITA bank?
You would need a physical card of codice fiscale thus it would have to be an "officially" given one
If a non-resident bank account: specific motivation / reasons why you need it, turnover etc. Subject to approval of the bank, difficult
If a resident account: you need also an ID card issued locally, residence permit,mere utility bill is irrelevant (local ID card mandatory in 99% of banks)
If local but online bank, the final︀ verification is done by making a deposit from another ITxxxxxxx bank acocunt in your name︁ previosuly opened in a brick and mortar bank to your new account and thus will︂ be practically impossible if it is your first account and you will not be able︃ to complete the procedure at the last step (even if you got creative with the︄ docs beforehand, etc...).
So locally I actually see only two ways, a slow grind of︅ trying to get a non-resident, costly and difficult to approve account or moving to ITA︆ and living for some time, making all the paperwork even the local ID card, opening︇ the accounts and then moving somewhere else (nothing prevents you from leaving and rellocating X︈ times whenever you want)
Not to mention that CRS would legally not be applicabe to︉ these residential accounts, but you probably already know that 😉
Cheers