Yes you can eat 2 year old frozen meat as long as it's been frozen the whole time.
Meat when frozen can last for quite a long time and 2 years is a perfectly safe time frame for the meat to remain safe in the freezer.
As long as the meat does not smell bad or taste bad or has not become slimy in feeling of the meat then the meat is safe to eat.
The freezer temperatures keep the meat from growing bacteria so the the meat remains safe to eat for 2 years and sometimes longer.
I've had some hamburger meat and steak left at the bottom of my deep freezer in my basement for 8 years as I forgot about it.
I thawed the meats out and they were still good to eat.
The meat didn't taste as fresh but the meat was still very good to eat.