Not specifically, only if you ask it for that. When you use a prompt to generate something from an AI model, the idea is yours, not the content.

What Grammarly or other tools do is correct your mistakes, for example, if I write, "He have a good sense of humor.", now, there is a mistake in my sentence, I'm supposed to use "has" with "He" because it's a third person singular and based on English grammar rules, we are supposed to use "has" with third person singular. Grammarly will show me the mistakes in my sentences and help me correct them. In this case, the written content is my own, but it's just helping me have no mistakes in it.

There is absolutely nothing wrong with using AI to rectify your mistakes or help you write your sentences in correct grammar. If a user is writing the content and then using an AI to correct the mistakes, there is nothing wrong with it, but if someone is generating the whole content using an AI model, and then passing it on as their own, that is wrong.