Of course. Why would bitcoin die in a recession? Worst case scenario is the prices will drop. But die? Nope.

Anyway, would bitcoin be a good option to store money in when a recession happens? No one really knows. Bitcoin hasn't went through a recession yet. While it makes sense to hold money into bitcoin(because bitcoin was birthed a year after the 2008 economic crisis), always take note that not everyone holding bitcoin knows what bitcoin is really for. There are a lot of speculators out there that would dump their bitcoin at short moment's notice due to fear when a recession happens.