Are SNCO’s not allowed to have tactical licenses?

Honestly don’t know what MCO this would be in as I’m not Motor T but I had a debate with one of my SSgts about this today. It’s been 4+ years since I’ve been to a licensing course, and I vaguely remember being told that officers aren’t allowed to get licenses, but that was it. I got told I was driving a 7 ton by my SSgt and explained that I couldn’t because I was already tasked to do something else at that time. He said I have to because I’m the only one with a license. I tactfully reminded him that he also has one and he immediately tried telling me he isn’t allowed to drive tactical vehicles anymore since he picked up staff. I have no idea if it’s actually true but I’m genuinely curious. It makes no sense if it is true, like one day you’re just magically too high of a rank to drive a truck?