I'm just finishing up ground school and inquired for a friend to the head of pilot recruiting about whether or not my friend should contact them regarding his application. He too has been waiting 6 plus weeks. Like everywhere you read on this forum, they are receiving a HUGE amount of applications daily. He explicitly said they don't take calls regarding applications, but to tell my buddy "no news is good news".

If you haven't gotten the thanks but no thanks e-mail yet there's still hope, but I wouldn't recommend pushing things too hard. It may come across the wrong way. Best of luck!