NOOOOooooo! The Tiger I mounts the 88mm KwK 36 L'56, which is a direct development of the 88mm FlaK 36.
The Tiger II, Nashorn, Jagdpanther, and Ferdinand mounted the much more powerfull 88 KwK 43 L'71, firing a longer cartridge with increased propellent charge, out of a much longer barrel, significantly increasing the muzzle velocity and accuracy of the gun.
The 88 L'71 was able to pentrate around 250mm of armor at 0yds, compared to the 88 L'56s 156mm.