You can but it's ****ing sore. I played about half a season of rugby with knackered cartilage. Took handfuls of prescription only painkillers to train and play (more professional outfits may give injections!)and my knee is now in bits even after two operations. Replacement knee on the horizon for me in the future.
I had a similar injury and never considered playing.
Hell it was painful enough turning over in bed in the month after causing it!