Would very much depend on whether it was a fresh install including reformat and where the folder was situated.
If it was and the folder was in the windows partition then I would say there was no chance.
This is why not only backups are so important but also to keep all data on a separate partition on your hard drive which will not be affected by a reinstall.
Did you not even use the settings & folders transfer wizard to enable recovery of these items ?.
I have fallen foul of this catastrophe myself in the distant past which is why I not only do all of the above but of late I even buy a new hard drive and install to that and then don't reformat the original until the new is up and running and I am happy I have not missed anything.
So much treasured data including photo's etc are kept on drives nowadays that it is essential to take every possible precaution.
I have two hard drives on my pc this one i reinstalled on that has my o/s and stuff on it and the other one i use just to store my files/folders on. Luckilly enough i havent lost alot more than i have cause most of it is saved on my other hd. The folder i forgot to save though is my internet favorites folder i had years of saved up internet sites on it and have lost them all now. I have an older one saved but its not upto date like this last one was.