Strictly speaking, no, that data is stored server-side. You can guess some of it, but for things such as job boosts (RNG in party when using Hunter's) or the use of Comm. Tricorne/+1 (33% chance of job boost if that job is not in party) is basically impossible to know if proc happened. You could attempt to code something that guessed based on some factors, but it's not reliable and I wouldn't use it to tell me if I should reroll.
Sticking to the highest roll you can get without getting bust statuses is probably the best approach most of the time.