Can my text show up on a computer?

I went to a friend of a friends house and used there computer to charge my iphone. They don't have itunes installed on there pc and the entire time my phone said nothing was synching. They're saying all my text messege history showed up but i think there messing with me. Is this possible? My messeges are none of her business.

If you don't know what you are doing, anything is possible. If their computer was Bluetooth active and your phone was, too, then there might have been a connection if you left access open without any security in place.

It is possible that your iPhone automatically synced with their computer.