Can there be a tornado if it's green or yellow on a weather map?

However, red means a tornado watch and orange means a thunderstorm watch as current on the weather channel.

All that the yellow and green indicate is rainfall intensity. It's not likely that a tornado would spin up from that. In order to look for a tornadic signature, the radar would need to be in the storm relative velocity mode, where you would be examining the wind direction and speed. With that said, most large tornadoes spawn out of supercell storms. You can get weaker tornadoes that spin up from the ends of bowline segments.

we had watches where i was at also and within minutes it blew up to red & purple and many warnings was issued it can develop that fast there was 1 confirmed touchdown barely 4 miles from where i live along with 3 or 4 more sightings in the general area yes they can form real fast and a storm can blow up to a bigger storm within moments

I think the yellow is only a watch and red is warning. So yellow is precautionary and red is get to a safe place.