Yes, absolutely. That is what we term “restrictive criteria”. When it's overly restrictive, we look at several criteria.
One of the obvious criteria is whether other suppliers that are involved in the process have identified the overly restrictive criteria. If the answer is yes, has the contracting authority done anything to modify the requirements?
If the answer is no and you end up with a sole compliant bidder, it leaves the question that perhaps the criteria were overly restrictive.