In my case there are two layers:

• raster from ArcGIS REST service (red) and
• vector in MVT format (blue)

The problem is that the raster layer is offset from the vector layer. It is assumed that the vector is more correct. Therefore, I need to "move" the raster layer a bit.

Is there a way this can be done in OpenLayers?

Reprojection doesn't seem to be the right thing to dig into, because both layers has the same original projection of EPSG:3857 (red one is EPSG:102100). But maybe some custom projection with some transformation functions? Idk. I just need some guidance on this matter. Thanks in advance!