Not literally. I was able to buy w/Schwab when it was restricted by RH. I tested this specifically to see if I should change brokers.
EDIT: It seems my assumption was incorrect. This link posted by grandmczeb shows that RH needed more capital by a downstream dependency to ensure those trades: https://archive.is/GFtf2
https://www.wsj.com/articles/fidelity-cashes-in-most-of-game...
https://www.bloomberg.com/news/newsletters/2021-02-11/why-ga...
They owned 13% of the company; now they own only 87 shares; they sold 9.3 million shares in 1 month.
So, during the Robinhood GME debacle, Fidelity could sidestep the issue, since they wanted to sell their own GME shares anyway, and also managed to look good in the process (no GME buying restrictions compared to Robinhood etc); win win for them
My understanding is that the clearing firm informs everyone "Hey, we no longer support opening positions in three stocks specifically: GameStop, AMC, and KOSS."
Literally everyone, including Robinhood, was forced to only allow people to sell GME.
Somehow Fidelity was the only market maker to avoid this -- you couldn't buy GME anywhere else due to the clearinghouse's decision.
(Why was Fidelity the only broker able to sidestep the clearinghouse's decision? An interesting mystery; perhaps someone here knows the answer.)