No, the account would reload to after you pulled. It saves the last action you did with that account.
As already mentioned, everything you do on your account is automatically saved, since it's server-side. If it wasn't, it would be way too easy to abuse to get good pula with your Dragon Stones, haha.
If you want to re-roll, you can set up a transfer passcode to return to it later (if you fail to get a re-roll you like). The code is good to a decent amount of time (at least a few months, some have even gone as far as something like six months), so no worries of it expiring. I have read that you can't use the passcode on the same device you issued it on, but I haven't tried personally to see if it's true. If it is, and you don't have a secondary device to use it on, re-issue a new passcode, and then enter that one on your primary one, you can use an emulator to accomplish the same thing.
If you're thinking of re-rolling, now is definitely the time to do it. Decent (not great, but decent) rates, and an incredible amount of free Dragon Stones for new accounts, due to all of the in-game events/promotions going on. If you do try for Gogeta and others, best of luck to you!
Man, I can't wait to try taking on Gogeta tomorrow. I could have done it this weekend, but family time and all that. Here's hoping it's not too rough. I do have Gogeta, and also AGL Freeza, so I can go with either team. Not sure which I'll settle on, maybe I'll try both.