Yes, this is what is traditionally called a "double negative".
It is a normal construction in many languages, including Old and Middle English, and many varieties of English today, but it fell out of favour in prestige English a couple of centuries ago, and is not part of standard Englishes.
Somewhere along the way, somebody invented a special name for it, along with the nonsensical rationalisation that the negatives "cancelled out"*, presumably to facilitate teaching generation after generation of schoolchildren that the way they spoke their native language was WRONG!
*There are contexts in which the negatives can cancel out but they are rare, and strongly marked by emphasis. eg "I've done nothing all day!" "Really, absolutely nothing?" "Well no, I haven't done nothing, but I've done very little of importance". But in contexts like the original question, all English speakers will understand what was meant (even those who claim that it means the opposite), and therefore that is what it means.