Not for every type, nope:
Normal:Quick Attack, Extremespeed, Fake Out, Bide, Feint
Fire: None
Water: Aqua Jet
Grass: None
Rock: None
Steel: Bullet Punch
Ice: Ice Shard
Bug: None
Fighting: Mach Punch, Vaccuum Wave
Dark: Sucker Punch, Pursuit
Ghost: Shadow Sneak
Electric: None
Ground: None
Poison: None
Flying: None
Psychic: None
Dragon: None
http://bulbapedia.bulbagarden.net/wiki/Priority
Only listed Attacking Priority moves, but the link includes all the Priority Moves.