Lezyne had a couple of models with GPS navigation aids but no phone connectivity. The user would sync to the PC later via USB cable. I don't recall the models but they're probably still on the website or archives and for sale somewhere online.
If you're concerned about privacy the Cyclemeter app by Abvio promises any data recorded using their app is stored only on the user's phone unless/until the user decides to share it online. Which means the user needs to be more careful about archiving data. Abvio warns against actions such as deleting and reinstalling the app because all user data might be lost. However you can still archive the data to your home computer, personal storage or your own private locked cloud account.