I'm using someone's Wi-Fi, can they search my history?

I'm using my iPhone and old phone to connect to my homes secured Wi-Fi. I always clear search history on my phone.

But can my family use their laptop and find out what I've been searching online from my phone connected to my family's Wi-Fi? Even though I clear search history on my phone?

Maybe depends on how the router is set up. My router will save all history if I set it up to. But most people don't know how to get into router setting so I would bet money that no one in your family can do it.Lots of router don't save history so your probably safe.

I doubt they will want to anyway tbh! You could just delete your history periodically.

No, they can't