Short answer? Usually yes.
Longer answer? Center them on the thing that matters.
Over a dining table, pendants should line up with the table, even if the table is not perfectly centered in the room. Same with a kitchen island. The light follows the surface, not the drywall.
This is where people get tripped up. They measure from wall to wall, find the midpoint, and hang the fixture there. Technically centered. Visually off.
Lighting supports function first. If the island shifts to allow better traffic flow, the pendants should shift too. If the dining table sits closer to a window wall, that is your anchor. When the light aligns with the furniture, the whole space feels more relaxed.
There are exceptions. In a bedroom, a single pendant might hang slightly off center above a nightstand if the bed is pushed against a wall. In an entry, you may center on the main walking path instead of the ceiling box.
It is less about symmetry and more about intention. A room can feel balanced without being perfectly mirrored.
So yes, center your pendant. Just make sure you are centering it on the right thing.