Your cell carrier will be able to pinpoint your location very accurately in a urban location. If you look at people getting convicted of various crimes you'll see the location data they're able to extract from the phone number.

Also, they will almost certainly be able to tie it to your identity even on a burner phone by who you contact. If you have a contract then obivously they will tie it. If you have a pay as you go and make payments via non cash methods then that will be tied. Cash payments and the location you made them from will help conclusively tie it to your identity with a half decent amount of work.

You are able to disable gps hardware on some Android phones. But as previously noted, no matter who your phone manufacturer is, it is a tracking device.