When I went thru many years ago they had one waiver for the whole Company, and that waiver was given to the most highspeed Soldier (Scored highest in Marskmen, scored amoung the highest in PT, and all around great Soldier). I beleive this still holds true that they have a waiver at Basic Training level for promotion to PV2 and PFC. If you work incredibly hard you may get it. If you don't get it in BCT, fear not, because you'll eventually get it whether you meet your TIG requirements or you get to your first duty station and they waiver you. Either way you will eventually get advanced as far as Specialist in the 2 years.
Good luck in Basic and AIT (on a side not, it stands to believe that they are able to waiver Soldiers in AIT as well since every unit is given a AAA 162 report for Soldier's able to advance).