How does Kingpin survive an arrow?
In Hawkeye's finale, the Kingpin was shot point-blank by Kate Bishop's arrows and he brushed the impact off, and this is a subtle callback to Daredevil. Kingpin slapped away the arrows Kate got from Hawkeye because his clothes are actually practically indestructible bulletproof armor that resembles cloth.
There's even comics precedent for Kingpin surviving a gunshot. In Daredevil Vol. 2 #15, Echo confronts Kingpin and shoots him with the same weapon he used to murder her father. But he manages to survive, albeit with some recovery time ahead after the gunshot blinded him.
Wilson Fisk is learned in several types of hand-to-hand combat, and uses his enormous bulk as a means of defense as much as attack. As such, he is able to fight super powered heroes, like Spider-Man, without fear of being seriously harmed or killed.
While the Kingpin has no superhuman powers, he is incredibly strong and significantly more durable than the average human, possessing remarkable strength concealed by his extremely corpulent appearance.
Kingpin, also known as Wilson Fisk, doesn't have any superhuman powers and hasn't taken any serums like Steve Rogers and others after him. However, his punches to Kate Bishop and ability to rip doors off cars demonstrates an incredible strength that not many people have.
In the comic books, Wilson Fisk realized from an early age that physical strength was necessary to establish power as a criminal. Fisk started training to achieve peak human strength during his teenage years, which was when he developed a fascination for sumo wrestling and other strength-focused martial arts.
Marvel's Kingpin is about to face one of Daredevil's major villains and he's not taking the threat lightly. Bullseye is someone to take seriously.
Kingpin doesn't have any previous training in close-quarter combat, but due to his sheer size and muscle, he has an incredible amount of strength. Of course, as mentioned previously, Fisk is still human, which means he can only take a certain amount of damage.
In the end, we see that the Kingpin has survived, but he is now blind... Eventually, Brian Michael Bendis and Alex Maleev take over the series as the regular creative team (after a Bendis fill-in arc.
Why did Kingpin not get hurt by the arrow? His armor allowed him to survive being shot in the chest with an arrow by Kate Bishop . Because it probably never pierced his skin. In Daredevil, Wilson Fisk coerced the ex-con inventor and armored Melvin Potter into making armored suits for him and his retinue.
How did Fisk take an arrow to the chest?
But due to him being a much larger man than most, he is able to deal and take more damage than the average human. Some viewers do suspect that he also has a bulletproof vest underneath his clothing, which would explain how he was able to take an arrow to the chest in Hawkeye Episode 6.
He's a very large man, not fat, that's mostly muscle. So he's very strong, though not superhumanly so, and has a lot of mass to back it up. On top of that he's a highly trained sumo wrestler, so he knows how to use his mass and strength expertly. This allows him to 'punch above his weight class.

Fisk's size and strength lend him extra durability that borders on superhuman without actually being some kind of magical or scientifically-engineered power. The man is just completely ripped, and his peak physical condition allows him to withstand blows that would crush a smaller, less swole individual.