Is it possible to brute force a card reader lock?

Recently they've added a new lock to my building which looks like this:

Now we were given the code to access the building, but not the cards/tags. I swiped my tag used for a different lock and it does beep, so I know it can read one. My question is would it be possible to brute force it or figure out a way to make a card/tag for it? It's super annoying typing in 4 digit code and hitting # on such a narrow keypad. There is no manufacturer listed on it, all it says is "Wiegand", but knowing the company that installed it, be sure it's a Chinese production (meaning a knockoff of otherwise popular product of the same type).