I think it's extremely likely.

First off, we unequivocally aren't in a 'real' world, mathematically speaking. If we were in a world where matter was infinitely divisible and continuous, it would be extremely unlikely that we were in a simulation given the difficulty in simulating a world like that. It's possible spacetime is continuous, but that's literally impossible to know because of the Plank limit on measurement thresholds.

Instead, we're in a world that appears to be continuous from a big picture view (things like general relativity are based on a continuous universe), and then in the details also appears continuous - until interacted with.

We do a very similar thing in video games today, specifically ones that use a technique called "procedural generation." A game like No Man's Sky can have billions of planets because they are generated with a continuous seed function. But then the games have to convert these continuous functions into discrete units in order to track the interactions free agents outside of the generation might make. If you (or an AI agent) move a mountain from point A to B, it's effectively impossible to track if the geometry is continuous, so it converts to discrete units where state changes can be recorded.

If memory efficient, if you deleted the persistent information about a change back to the initial generation state, it shouldn't need to stay converted to discrete units and can go back to being determined by the continuous function. Guess what our reality does when the information about interactions with discrete units is deleted? That's right, it goes back to behaving as if continuous.

On top of all of this, a very common trope in the virtual worlds we are building today is sticking stuff that acknowledges it's a virtual world inside the world lore - things like Outer Worlds having a heretical branch of the main world religion claiming things that you as a player know are the way the game actually works.

Again, guess what? Our world has a heretical branch of the world's most famous religion that were claiming we are in a copy of an original world brought about by an intelligence the original humans brought forth. They were even talking about how the original could be continuously divided but the copy couldn't and that if you could find an indivisible point within things that you were in the copy (which they said was a good thing as the original humans just straight up died and if you were the copy there was an alleged guaranteed and unconditional afterlife).

I have a really hard time seeing nature as coincidentally happening to model a continuous universe at macro scales and then a memory optimized state tracking of changes to that universe at micro scales, and then a little known heretical group claiming effectively simulation theory including discussions of continuous vs discrete matter in a tradition whose main document was only rediscovered the same week we turned on the first computer capable of simulating another computer on Dec 10th, 1945. That would be quite the coincidence.