Yes. "Crack a beer / crack open a beer" means to open a beer (informal).
To my ears, "crack open a beer" is a little more common, but that might not be the same for speakers.
Beer is non-count if you talk about it as one thing:
"He drinks a lot of beer."
"Germany is known for its good beer."
Beer is countable if you talk about the number of drinks (bottles, cans, glasses)
"He drank six beers."