Can I disclose a conflict of interest with some professors from a particular university in responding to comments?
I'd advise against such a move, which can be seen as a way to avoid a complex revision. 

Usually, at the time of submission, journals allow the authors to specify non-preferred potential reviewers, either directly through the submission management system or through the cover letter. If you think that someone can be strongly biased against your work due to a conflict of interest, that's the time to voice your concern, not after the review.