We spent some time on this a couple of years back and yes, it's quite common for polymers of various kinds to autofluoresce pretty much across the entire visible spectrum, as long as you hit them with enough laser power. The emission peak is usually about 15nm higher than the wavelength of the excitation laser. If you have a "genuine" fluorophore with a proper resonance peak, like GFP, in your sample, it usually brightly outshines any of this unspecific polymer autofluroescence. But especially around the near-UV range (e.g. when imaging DAPI), it can interfere.
Some of the strongest autofluorescence we actually got from plastics commonly used for culture vessels...
biological molecules exhibit a lot of autofluorescence so if you're dealing with bio-polymers the yes, but not all I think. You may find this helpful: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S1431927605501508
Dear all, if the field of interest is specified would be better. This is very common in the study of functional polymers. These links deal with this subject. My Regards