Not unless they happen to be using the same user meta key that my plugin uses to store the phone info, which they are obviously not since it doesn’t show.
Note that by default, WordPress doesn’t have a phone number field in the users database table, and there is no default meta key for it in the users meta database table. When I first set up this plugin for our son’s school PTA website, we were also using WooCommerce, so I went with the user meta field that WooCommerce uses for the billing phone field, so that if they registered through WooCommerce, then I could use that same phone field.
So, the short answer is “no”. At this point I’m not going to change the user meta key that I use to save the phone number, as that would break all the sites that are already using this plugin.
However, all they have to do is enter their phone number once when they first signup for anything, and then any time they signup for anything after that, the phone field will be filled.
Also, note that you do NOT have to show or collect the phone field on the signup form. There is a setting is this plugin to NOT show the phone field (you need to check the checkbox to remove the phone field from the signup form). So, if you already have their phone number through the registration form that your other plugin creates, and you don’t want to collect it again, you can simply turn it off for the volunteer signup form.