Yes the Chinooks did the supply run from Akrotiri and also cas-evac I believe when we did the peacekeeping stuff out there.
The likely scenario is probably to use Chinooks and other choppers to shuttle people to a nice big deck sitting off shore at a safe distance.
The whole operation would take a lot longer if each flight had to go all the way to Akrotiri.
Shame we haven't got a few Buccs on QRA at Akrotiri for top cover this time. Harriers likely, but not quite the same