It's very conceivable that with an L-band or similar patch antenna some kind of low speed connectivity can be accomplished with line of sight to the sky via a mobile device. There are already devices sold for hikers etc that operate like this (simple SOS text messaging etc) and sat tracking of vehicles and trucks. A lot of it is store and forward type stuff.
As for full voice and high speed data - yeah, that ain't happening yet at the consumer level mobile device.
Yep, I’ve owned a ton of them over the years. My first was the FollowMeSpot device coming up on two decades ago. They’ve of course gotten a lot smaller, but are still definitely “thick fugly bricks” in comparison to Apple’s designs. Looking at tear downs of them, I see absolutely no way you’ll fit the important bits of one inside an iPhone case.
5G phones support frequencies in these bands, and well above and below either.
The early PCS allocations and a few later allocations (1900, 1800, 1700) are also L-band, but there’s good reason not to use them for this, they are already heavily in use all over. Satellite cells cover a large area and you don’t want to collide with a tower using the same frequency.
The 600-800mhz allocations are not great for satellite broadcast due to limiting characteristics of those bands.
So for the 5G bands that would not already heavily be in use and/or aren’t well suited to satellite use, that leaves us C band (3-5ghz), and K/Ku band (mmWave).