No, to both.
Current squadrons jump from 230 sqn to 617 (Dambusters) with
nothing inbetween.
Previously there was a 361 sqn (ECM Canberras - disbanded 14
July 1967) and the next after that was 500sqn (Auxiliary Air Force,
flying Meteors - disbanded 10 March 1957).
There was a USAAF 364th fighter group that served in WWII from
the UK (based at RAF Honington) and the USAAF 364th fighter
squadron (part of 357th fighter group at Yoxford in WWII).