>>223080
No.
The only banners that have a linked pity are the two limited time character banners.

The limited banners, weapon banner, and permanent banner all have separate pity.
Limited banners combined pity 77 (soft) 90 (hard) 50/50 pity after one non limited 5*
Weapon banner 67 (soft) 80 (hard) 50/50 pity after two limited 5* of selected weapon
Permanent banner 77 (soft) 90 (hard) no 50/50 pity for 5* character or weapon.