Hello!
First off, thank you for taking the time to research our Time Warp plot! It can be a lot to take in, and there are a few reasources around the site available for use (some can be harder to find that others).
In our Era Guide, we have a
Quick Reference guide for the Time Warp. Looking at the third paragraph, it reads:
Since only the magical world is effected, Muggles will be left behind. It is possible for a few to be taken along if they were in a magical place at the time. However, the majority will not be able to go.
So to answer your question, yes it is possible that some Muggles found themselves taken along for the Time Warp ride.