Yes. Pfizer have published info on their logistics, there are details in the wall st journal. Basic idea is a little box of ~1000 doses goes in a big box filled with enough dry ice for up to ten days. Average delivery time will be around 3.

edit: See https://www.wsj.com/articles/pfizer-sets-up-its-biggest-ever...

dry ice manufacturing companies?

Do You mean the Co2 supply chain? We make a lot of carbonated beverages; there will likely be no shortage.

There is a glut in the CO2 supply - it is a byproduct of several industrial processes. (even before carbon capture for environmental reasons.)