Not the iphone that is in my possession. Able to look into the texts I have posted maybe via icloud or something else. I know that they can not read my text on my phone unless I hand it to them. I mean being able to research into it.
No one can read your texts other than on your phone, unless you have more than one iOS device connected to the same iMessage address. iMessages do not post on iCloud. What gave you the idea anyone could?