Again, I could just row to Diego Garcia and make a grenade qualify as a missile that is within range of the island. If you want to hypothesize that some giant missile like a CJ-10 could fit inside a J-36 that is then refueled during its trip from a high altitude airfield for which it may or may not be designed to operate and count that missile as one that is within "range" of Diego Garcia, then knock yourself out, but it clearly is outside OP's intended statement.
Couple of points
1. You can have J-36 escorting H-6 bombers, who do have the range to launch cruise missiles against Diego Garcia
2. Diego Garcia should be within range of the DF-27 missiles. And aircraft like bombers or tankers are very vulnerable on the ground because they are too big to hide or place in hardened shelters
3. Diego Garcia is 6000km from Taiwan, and taking such a route is problematic as it would require overflying neutral countries in ASEAN. It also requires tankers.