Yes, squamous cancer can grow that quickly.
When my rooster started developing his tumor on his leg, I thought it was an injury. I treated it as a wound, but it kept growing larger, never healing. Since you just discovered this, go ahead and treat it with Neosporin or other antibiotic wound ointment. I wouldn't do anything else to it, and see if it heals. If it doesn't, you will then know it's cancer.
When my rooster started developing his tumor on his leg, I thought it was an injury. I treated it as a wound, but it kept growing larger, never healing. Since you just discovered this, go ahead and treat it with Neosporin or other antibiotic wound ointment. I wouldn't do anything else to it, and see if it heals. If it doesn't, you will then know it's cancer.