Would it be feasible for Rolls Royce to get the Griffon ready for production early enough that those Fairey Battles and Fulmars built in 1940 were powered by them, perhaps by axing the Peregrine and Vulture early? That would also likely result in the Merlin Whirlwind being built.
Hindsight tells us that all but one of the Rolls Royce piston engines begun after the Merlin shouldn't have been started in the first place and that Rolls Royce should have been given the contract to built Whittle's engines instead of Rover. The one exception was the Griffon.
Some sources say that the Griffon was begun in the early 1930s, but development was suspended for several years to concentrate on the Merlin. AFAIK Griffon was suspended for a second time early in the war because it was primarily seen as an engine for naval aircraft and/or the need to concentrate on improving engines that were already in production during the invasion crisis.
However, other sources say that the early 1930s Griffon wasn't the same engine as the 1940s Griffon. It was instead a development of the Buzzard and "R" engines.
If the first version of the Griffon story is the correct one, then yes it could.
Michael J. F. Bowyer in Aircraft for the Few wrote that the Battle was intended to have the version of the Griffon developed from the Buzzard/"R".
When that engine faltered in 1934 Fairey turned to a powerful and too advanced complex engine of their own making. When that too became a non-starter the company was forced to opt for the Merlin that gave about 800 less horse power. Little wonder the aeroplane, far too large for a 1,000hp engine, was hardly a success.