This is not chromatic aberration. It looks like an anaglyph effect—the red/blue offset associated with old 3D images viewed with colored glasses. In this case it may be a true anaglyph image or simply using that look as an artistic effect.

You can create a similar result without Photoshop, but it’s typically done either in-camera with multiple exposures/alignment tricks or with optical/color-filter experimentation rather than as a normal lens artifact. The key point is that it’s a deliberate red/cyan channel offset, not a flaw like chromatic aberration.