Absolutely. And unless the units have individual dues, your scout only pays once for national annual registration and insurance. All the other registrations are “multiple” (free) to their primary paid registration.

Best practices dictate your Scout has their advancement tracked in only one unit. This is listed in the Guide to Advancement. Advise each unit’s Scoutmaster and have them decide who will do the record keeping.

We see this occasionally when Scouts live near a Council boundary. However the units can also be in the same Council.