Yes if you refer to aligning from a total halt. That is your align time in the ship info window AFAIK. Meaning if your ship is not moving, the time it takes to warp to any direction is your displayed align time.
If you fly towards your target (with a 5 degree precision) and move at least 75% speed then your align time is zero and warp instantly the moment you hit warp.
If you face a different direction then your ship have to turn and/or if move at less speed then have to accelerate to 75%+.
Note that if you fly to the opposite direction your ship have to turn even more.
Also if you get bumped that will affect your ship movement vector thus usually prevents you from warping until your ship can properly align or the warp initiation timer expires.
(Assuming you are not scrammed or pointed.)
So in short if we’re talking about warping from a complete halt (which is what happens when you enter a system and under gate cloak) then it does not matter which direction your ship is facing. (AFAIK)