Yes. There is even a badge for these kind of actions

nostr:naddr1qqx8yctvvckkjuedveex2egpzpmhxue69uhkummnw3ezuamfdejsyg8wd6sn4w07t39x36hekx35lcq55e45qytu2rhz5c20fndftxmwwspsgqqqw5us3eaa8l

As it's a hosted site, they can ban you from primal. You can however just go log into any other nostr client with your nsec and carry on.

Any hosted client can ban you from their hosting, though most of them, like coracle or Nostrudel, can be self hosted too.