Nope, a ring circuit is, as the name implies, a loop from the CU through all the sockets, etc, and back to the CU. If the ring is broken at some point you should still get power to all sockets, but you lose the advantages of the ring circuit.
Main advantage is that as the current travels in both directions to the load, so the cables carry less current. Also, distance from the CU to the load can be shorter than the distance to the last load on a radial circuit, so the power losses in the cable itself are reduced.
If a circuit has been designed as a ring, I'd recommend keeping it that way. Cables may not be up to the extra current of changing this to two radials.
Leo