Nope. No way. You'll need at least 1500 PIC time in the C-40 to be competitive for the majors. I had 5200 hours of Navy time with 2000 in C-9s, 1000 in CV-580s and 1000 in C-12s with NATOPS IP quals in the C-9 and H-46 plus IP quals in the C-12 and C-131.

That got me exactly squat at Delta, NWA, AA, FedEx and CAL.