Yes the sentence in your second line above is grammatical.
"Accompany" is not a grammatical term in the sense that, say 'modify' or 'qualify' are. "Adverbs modify verbs", "Adjectives qualify nouns". 'Accompany' doesn't mean anything to me in grammar, though I can see now that your question is whether more than one determiner can directly precede a noun. Yes, your sentence demonstrates that.