I have iPhone 6 and Windows 10 operating system.
Yes, there is a possibility to transfer the messages to PC. You can use the known Syncios application or the CopyTrans one. Both applications are designed to allow a user to transfer the content from its Apple devices to the PC or ITunes. I don't know about Syncios, but CopyTrans supports transferring content to iTunes directly from the iOS device.
CopyTrans page: http://www.copytrans.net/copytrans/
Yes, of course. You can download the messages to your Windows 10 very easily with Syncios for free.
Syncios is better, cannot agree more!
You can use a data backup assistant, with it, you are allowed to transfer text messages, contacts, photos, and other data to pc.
iphone backup text messages.