In 1940 the British were buying (or taking over french orders) a slew of American aircraft. Buffaloes, WIldcats, Hawk75s, Hawk 81s (with Allisons), P-38s (without turbos and with) P-39s (with Allisons), Lockheed Hudsons, Martin Marylanders, Douglas DB 7s, and even small numbers of B-17s and B-24s. not to mention trainers.
In NO CASE were any of these aircraft powered by any sort of British engine. Not one Merlin, Mercury, Pegasus, Hercules, or even Kestrel came over the ocean to power one of these planes. Even planes made in Canada were often adapted to American engines, not always to the benefit of the aircraft. the whole idea was to supplement British production to the greatest extent possible, not leave hundreds of British airframes sitting out on the ramps without engines.
British were also placing orders for American engines to be fitted to British built aircraft. P & W R-1830s for Beauforts and Wellingtons. R-2800s for the Warwick, At least one Stirling wound up with R-2600s at some point but that may have been later.
Allison built 1149 engines in 1940 and 6,400 in 1941. Many of those were for French and British orders. Without those several thousand engines Britain would have been much harder pressed and there were certainly have been no spare Merlins to send to California.