Right so this actually caught my eye because I had something similar happen at my old place in Cardiff during that big storm we had a few years back. A ceramic mug on the kitchen counter moved about four inches toward the edge while I was standing right there watching it. No vibration I could feel, no draughts, nothing. I wrote it off at the time but it stuck with me.
There's a theory I've read about - not claiming to be an expert here - that electromagnetic fluctuations during storms can interact with certain materials or maybe even amplify existing energy in a location. Whether thats a physical explanation or something more paranormal I honestly couldn't tell you.
What kind of objects are moving in your case? Is it always the same spot in the house? That would be worth documenting properly if it keeps happening, even just notes on your phone with timestamps. Would be really interested to hear if others have seen a pattern with thunderstorms specifically because that detail does seem to come up more than people realise.