My eye is super swollen and red. Is this pink eye, and if so, will it get better without treatment?

Impossible to say without an actual examination.

Okay. I have a bad chest cold as well, so thinking it's a residual symptom

Why not have it checked in case you are wrong?

Swollen eye is really not a residue sign of a cold. Is it red ? Is vision impaired?
But I agree, as a person with limited vision, you do not want to take a chance with your eyes.