BuddyPress.org

You need to override the new user admin email function:
https://codex.wordpress.org/Function_Reference/wp_new_user_notification

Then you need to call on some BuddyPress functions to grab the xprofile data.

xprofile_get_field_data() (located in bp-xprofile.php) will help.

—

If all this is foreign to you, short answer is “it’s possible, but requires coding”