In general, no.
There isn't an outright prohibition on critical questions, but so far we have yet to see any that really work. Basically one of two things ends up happening:
The OP just wants to be critical. If after some effort from the community all they really want is the critical tone of their post, then it gets closed as "Not Constructive" and we move on.
The OP really wants to learn something. If they actually want to hear and maybe learn from the perspective of whatever it is they are critical of, then we can help them edit the question into a form that asks a question rather than criticizing. It's not rocket science, but it's not many people's first instinct. To give an extreme example, you could ask "Why do Bereans typically not use any name other than 'Christian' to identify themselves?" Expect an answer from a Berean or somebody that knows them well. However, "How is it that Bereans can be so block headed as to believe they are the only ones that put the Bible first?" would get shut down. To give a more subtle example, we would not let you ask "Should infants be baptised or not?" but you may ask "Why do most Presbyterians baptise their infants?"
Basically, it comes down to this: Direct your questions at getting answers from the experts in the exact niche that the question topic hits. When it comes to faith, this means framing your question in way that the best answers will be from the party being questioned, not from everybody else. If you are doing it right, you should be able to ask about any doctrine from any sect even if you think they are totally heretical in a way that allows them to explain themselves and doesn't have to be read as an attack.
Allow me to bring this point home with an example. It's not really a secret around here that I don't believe some Sects such as Mormonism are in any way compatible with true Christianity. And yet they are definitely included in the scope of this site. Any attempt on my part to use this as a venue to criticize them would not be tolerated. On the contrary, this is a place were we can both approach the table and learn about each-other through RESPECTFUL GENUINE QUESTIONS. For example, I asked On what do Mormons base their practice of proxy-baptisms on behalf of the dead? and got a good solid answer from a professing Mormon. As a result, I learned something. As a Reformed Protestant I have very different beliefs on the matter, but my agreement or disagreement does not even factor into the question, my upvote/accept of the answer I got, or the chance to learn something about a belief different from mine.