Yes, but...

Airlines (most large companies) tend to have very detailed policies about social media, media, etc use by employees and they usually state "up to and including termination". The union might save you, but it might not. Most pilot disciplinary matters top out at the CP level... social media gaffes can get the attention of top execs and the union can't always save you.

Public speech about or related to your employer should be considered a potential third rail.


Also... word to the wise: ALL of the social media related terminations which I have personal knowledge of involved the aggravating circumstance of posting on the web from the cockpit during block. The company owns that network, and they can throw the FARs and Safety at you too.