it doesn't move in time, so no time will have past when the light
arrives at it's "destination". Right?
A photon does 'move in time'. It just that, for a photon, the displacement in time, $c \Delta t$, equals the displacement in space, $\Delta x$.
However, there is no proper time for a photon.
Your proper time is, in words, the elapsed time according to a clock at rest with respect to you.
But, according to special relativity, there is no inertial frame of reference in which a photon is at rest so there is no clock at rest with respect to a photon.
Put another way, a photon propagates with speed $c$ with respect to all clocks.
Note that this is quite different from saying that a clock at rest with respect to a photon 'stands still', i.e., no time passes.
It's more subtle than that since there is no clock at rest with respect to a photon to consult!