If I travel out of state with a time change, will that have any effect on my in hom device read outs times?

You typcially aren't allowed out of you house with those... they are to assure you don't leave your house during the period you are required to have them... or is this some other form of device that does let you travel?

If you have permission to leave the home, no it will not automatically change time normally but if you have permission to go you and your PO will have to work out the details.