IN already has an airbase on the Andaman & Nicobar Islands, INS Utkrosh:
http://www./NAVY/Aviation/Stations/72-INS-Utkrosh.html
But of course the runway must be appropriate, but I was talking about the new fully fledged air bases that are planed there and I don't see a reason why IN and IAF couldn't use such bigger aircrafts like P8I, IL 76/78, or in future maybe C17 and A330 MRTT from combined bases. The P8I of course has the enough range, but stationed at these forwarded bases on the islands, they would need less time to return and could stay longer at patrol missions. Btw, IF IAF has the aim of refuelling the P8Is in the air, using the same base for tankers would be useful as well, because you safe a lot of fuel to reach the MPAs and it won't be the P8Is alone in future that needs this capability (shore based AWACS, MRMR aircrafts, fighters). Adding more tankers is as important, to increase the range and endurance of the MPAs!