"In theory true. In practice not without the whole world knowing that you're doing it."
Jamming SW stations was easy because they were far away and normally on the third ionospheric skip whilst the jammers were local - and they weren't frequency-agile. In practice VoA and friends would change frequencies 4-5 times during the day and the jammers would take time to catch up.
Jamming a bunch of _moving_, frequency-agile comms satellites only 150 miles up is a different kettle of fish
Apart from "the world would know" - you'd need a LOT of jammers, and those "pizzabox size antennas" are likely to get both a lot smaller and a lot more hideable in a short period of time if this kind of game gets played.
You can make it illegal to possess a ground station, but enforcing that will be both difficult-to-impossible and likely to draw even more attention that you don't want (Myanmar, China, Venezula, etc)