Imperatives are grammatically correct...as for the complete sentence part of the question, I will say no. I did see John Lawler's comment
Provided they're grammatical imperatives, yes, they're complete sentences. Imperatives and Interrogatives are different kinds of sentences, but not incomplete. They have their own grammar, is all.
but I was taught in elementary school that a classical complete sentence contains a subject, verb, and object. If that is also how the OP defines complete sentence, and I say if because it is a definition open to interpretation (think of a complete breakfast), then imperatives do not qualify.
A phrase ending in a period, question mark, or exclamation mark makes it a sentence, potentially a sentence fragment, but not necessarily a complete sentence.