No. The huge P-47 was built for strength and durability while the Bearcat was designed and built for absolute small size and lightness for speed, which it had at 455 mph (732 km/h), and esp. for maximum climb which was very fast, 4,465 ft/min (22.68 m/s).
To obtain that it was quite stripped and light in build, plus it didn't have massive aluminum spars or the extra armour around the pilot that the P-47 did, or the steel reinforcing rods in the belly at allow the P-47 to crash land and still keep the fuselage integrity or the huge GE turbo-supercharger in almost the entire airframe or the electric dive brakes or the duplication of many systems, or the extra electronics in the huge cockpit, or any of the many other features the P-47 had.
Source: Pete Feigal (Quora)