Looking into this further, while Starlink's coverage map didn't include Antarctica when I checked it, there is in fact Starlink internet available in the Antarctic.
Quark offers basic internet free using it and faster internet for a fee. Basic eg for email, faster eg for streaming.
Faster internet may be intermittant as there are no base stations on the continent and Starlink uses lasers to link satellites to base stations on the southern parts of other continents.
I'm waiting to hear what Quark will charge for a faster connection.