Draw is possible in boxing?
Yes, draw is possible in 2 situations:
1) The draw happens in the decision. This means judges give a 50/50 decission. It's a draw.
2) This is the crazy one: Double KO. Both boxers punch themselves hard at the same time, they fall at the floor and none of them can stand up again. Im not sure if this has ever happened in profesional boxing. It probably happened but its ultra rare.
Double KO is a rare feat and it has happened long back during a match against Ad Wolgast v Joe Rivers for the lightweight title both knocked them out but the referee helped Wolgast to his feet and counted River out and that was the most controversial decisions in boxing history.I have seen some amateur double KO videos in MMA and boxing in youtube which are really funny.

That's pretty crazy. One of the most controversial split decisions ever happened very recently. Adrien Ward vs Sergey Kovalev. Kovalev clearly won, but the judges gave Ward a win. I was shocked, and so I pissed off since I lost money. Those fucking American judges need to be fired.
I also lost that night. Ward was down in Round 1, unfortunately he lost.
Scores were 114-113, 114-113, 114-113, But I think is a unanimous decision not split decision.
Anyways, their is a rematch clause so I'm still betting on Kovalev if the fight happens.