Yes, that's how it reads. Suddenly they were aware that this was contrary to modesty ie wrong.When Adam and Eve "opened their eyes," what is the first thing they noticed after that? That they were naked.
If that's the case, it certainly isn't because of anything said in the Garden story. As I keep pointing out, it never mentions sin, original sin, the fall of man, death entering the world ─ and of course like the rest of the Tanakh it never mentions Jesus either.Only submitting to God's rulership under Christ Jesus will anyone escape the penalty passed on because of Adam.