I just had a weird thing happen. I ended up with what looked like a card back in my hand, and a prompt that I must play a trait. Chat still worked, but I couldn't click on Dropped Guard to advance the game. I captured the log, then reloaded, and it worked fine after that point. The 'card back' was a defender's block after reloading. In the log, it appears as "Dwedit drew a card for Borndhrosgal", and is the only time it says that "a card" was drawn by a figure on my side, rather than the name of a card. There's also an "Error #1009" and stack trace right at the bottom of the log.
This has also happened to me: https://forums.cardhunter.com/threads/game-freeze-during-draw-phase.7509/ I think it occurred just after the Steam release, although I was playing via browser. I put it down to the heavy load on the servers because I was also getting frequent disconnects. I have not had it happen since.