Then link your Paypal account to itch.io instead of your bank account. You can also withdraw the funds from your itch.io account as soon as you can to avoid any issues if your account is hacked. But I think you’ll be fine if you don’t give any bank details who anyone who asks for it.
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No, Stripe and Paypal are the only accepted payment options.
https://itch.io/docs/creators/payments#how-itchio-handles-payments