Unfortunately not. The RingGo parking service is designed to be used in the same way as the on-site payment machines; so once you have paid in a particular location, you cannot then choose to move your vehicle somewhere different without expecting to pay again for the new location (just as you wouldn't expect a ticket purchased from a payment machine to cover your parking in a different car park or area).
If you decide to change location you must purchase a new session, as the service is based upon the location code you originally paid to park in. This rule applies to any location operated by the same operator - you must still purchase a new session for the new location.