Yes. If you know the image is copyrighted or trademarked and you republish in without permission and some how that benefits you without compensation back to the owner that is a problem. Remember file sharing with absolutely no profit is still an infringement.
Probably for you and me, we would be honored if someone copied our work. But if it were how we made our living and it cut into that, probably not so honored. If you are reading a notice that says in effect "may not be used for commercial purposes". Well that is superfluous as it cannot be used at all, without permission. If they give you permission for non-commercial -- that would really best translate into private. No publishing.
Anyhow there is not really a yes or no answer in general, it is more a case by case issue. ie extremely expensive. So avoid it and do not do it.