It would be tricky to do so with a lot of the L1 FATEs as they involve dozens upon dozens of enemies, most of which die from L1-10 characters very quickly anyway - at least, based on my experience. Basically I wouldn't really see it becoming an issue, and if it did happen then it would probably be a rare thing. I never came across much if any notable trolling in FFXIV 1.x or in Alpha/Beta of FFXIV ARR.