Yes, an admin user on your account can add, edit, delete and reorder your contact types within your Wealthbox settings.
Navigate to the three dots in the upper right corner of Wealthbox
Click on settings
Go to “Customizations” under “Workspace”
Click on “Contact Types” under “Workspace Customizations.”
Note: If you have a contact type associated to a contact, you will be prompted to change the type to another type before deleting it.