They've had inflation problems since before MMT was named, you can't pin that on MMT. No, they have a very classical balance-of-trade problem: importing more than you export causes the currency to decline against the fixed-point of the dollar, which makes imports more expensive. Increased prices for critical imports like oil == increased inflation.
Money printing tries to paper over this but makes the problem worse, because the money they actually need is dollars, and only the US can print dollars.
(Venezuela used to be a big oil producer until 2016, at which point it declined, leading to an inflation blowup https://www.ceicdata.com/en/indicator/venezuela/crude-oil-pr... ; Maduro has been really bad for the country)
Money printing tries to paper over this but makes the problem worse, because the money they actually need is dollars, and only the US can print dollars.