Yes, you can have Bizum in two banks, but to do so you need to have two phone numbers. With only one cell phone number you can be in Bizum only through one bank.
It is also possible to associate two phone numbers to the same account, for example for shared accounts of couples or family members.
If you want to know more about the options of having Bizum in several banks, you can read the following post: Yes, you can have Bizum in two banks by following these steps.