Unless the magic gecko told him about it while he was steering the Boba ship I'd say no. I seriously doubt Boba really understood anything they were telling him. The guy used the same hand gesture to communicate a half dozen different things, so clearly they were on completely different wavelengths.I don't understand why Boba thought his armor was still inside the sarlacc? He knows he escaped, crawled out with it on, then got knocked out... does it not occur to him that it was stolen? Is he not familiar with Jawas? Didn't the Tuskens explain to him how they found him surrounded by Jawa tracks?
Instead, he searches that massive beast's gullet with a flashlight, then crawls back inside to search himself.