password in wp

I’m developing a site where PDB works along with wordpress and woocommerce. The setup is going to be like this: customer has to pay a one-time fee before he gets access to the PDB records. Woocommerce is used for this payment. After having paid woocommerce is not relevant anymore. PDB can handle everything. I do not want the customers to have to enter their name, address, email twice – once in wp/woo en once in PDB. I am using the PDB plugin wordpress user profile. Customers enter their credentials in the PDB signup form. All credentials appear in both PDB and in the WP user section. Except the password. Password is stored in PDB but not copied to wp. Is there a possibility that also the password is tranfered to wp, along with name, adress email etc.? Thanks, Regards, Michel.