No not live streaming, but some do have a "instant" upload to a few select social media you might be on, but it is just for a little event not a broadcast.
As you drive along the live part might also be challenged of how near you are to a antenna and the connection you get assigned on it.
I have 2 of the 3 or 4 national 4G networks availebel to my phone, but some times i am off 4G for a few seconds while driving,,,, and this is in little pretty darn flat Denmark and 2 networks ( roaming agreement )