The answer is yes.
The way it works, anybody can create a tournament online, which then works like the "Worldwide" or "Regional" modes, except the tournament creator can set various rules: 50cc/100cc/150cc, DLC tracks or no DLC tracks, teams or no teams, etc. Among those rules, you can set items to normal, explosive, mushrooms only, banana peels only, shells only... or no items at all. By default, anybody can join.
It actually does not work all that well in general, because people started making tons of tournaments with nobody in it and they got abandoned fast, but there are a few popular tournaments online where there are always people whenever you log in. Among those, a "no items" tournament, "
No item racing".
It's actually pretty sweet, I can't stand standard online play now, way too annoying and random. Shame Nintendo themselves didn't make big, general channels with settings instead of this mess, there would be even more people online, but it's still better than nothing.