Sure, but people also just used up what they had.
I had a box of mini hand sanitizer in the closet i purchased 2-3 years ago, I brought it out at the beginning of march and began to use it. I ran out and there was no more to be found in any store. Still have only seen it once or twice in a store, behind the counter now 2 months later.
Even if we had all just tried to buy 1 bottle of hand sanitizer each that would have been 330 million bottles, I don’t think store shelves had that many in march.
(Edit: It’s the same thing as happened to stuff like toilet paper - we usually make just enough toilet paper for everyone, between commercial and retail toilet paper sales. Suddenly commercial toilet paper became unsaleable with industries shuttering their doors, and the existing supply of home toilet paper wasn’t enough anymore since now all the bum-wiping that would have been done with commercial toilet paper needed to be done with the different rolls that are sold to home goods buyers)