Is it Possible to Upload a Mathematically Impossible Level in Super Mario Maker 2?

A while ago I thought it would be fun to theorycraft the strongest and most secure combination lock possible in Super Mario Maker 2. There never really was a point to this in the first Super Mario Maker, since everyone was able to download each course, and therefore everyone was able to take a look at the combination, but since nintendo sadly decided that editing downloaded courses is no longer a thing in Super Mario Maker 2, that also means that, at least in theory it should be possible to upload a combina