The two are sort of distant cousins through the Black family. Cedrella Weasley (née Black) had a first cousin on her father's side, Dorea Black. Dorea married Charlus Potter and together they had a son whose name is unknown and who does not know whether he is dead or alive.
Harry, Ron and Draco are cousins.
Thus, the Blacks are related to the Max, Blishwick, Flint, Hitchens, Gamp, Bulstrode, Burke, Yaxley, Macmillan, Crabbe, Potter, Peverell, Gaunt, Longbottom, Fortescue, Weasley, Delacour, Johnson, Granger, Crouch, Prewett, Rosier, Lestrange, Meliflua, Tonks, Malfoy, and Lupin families (albeit most of them distantly) but ...
The simple answer is: no, Harry Potter and Draco Malfoy are not related.
Hermione Malfoy (née Granger) is the daughter of Mr Granger and Mrs Granger, wife of Draco Malfoy, Daughter-in-law of Lucius Malfoy and Narcissa Malfoy (née Black), Mother of Hyperion, Hyperion II, Scorpius, sister-in-law of Miss Malfoy and friend of Harry Potter.
In some cases (the Malfoy family) blood traitors are a bad as Mudbloods. As other people said, it is also due to the Malfoys' arrogance, the feeling of self-importance and wealth. The Weasly family is also very poor, which may also lead to a dislike with the rich, pureblood families.
The story of Chamber of Secrets, as you know, is that the Heir of Slytherin has returned and he's out for Mudbloods. The Heir of Slytherin turns out to be Ginny Weasley, who is being controlled via a magical diary that once belonged to Tom Riddle, AKA Voldemort.
Draco's mother is Narcissa Black, which makes Draco Sirius' second cousin.
Molly Weasley I (née Prewett) (b. 30 October, 1949) was a pure-blood witch and the matriarch of the Weasley family, married to Arthur Weasley.
So how are Sirius and the Weasleys related? Phineas Nigellus Black is Sirius' great-great-grandfather and Arthur's great-grandfather, making the two men second cousins once removed. (Sirius correctly notes the relationship in Order of the Phoenix.)
Draco was the only child of Lucius and Narcissa Malfoy, who were both born into old, wealthy pure-blood families. Through his mother, Draco was a descendant of the Noble and Most Ancient House of Black and the great-great-great grandson of Phineas Nigellus Black.
Lucius Malfoy, Draco's father, was Snape's friend and fellow Death Eater. Snape owed a great deal to Lucius. So, naturally, Snape would treat Draco specially. Draco Malfoy was in Slytherin and despite everything, Snape still gave special treatment to all the Slytherins in general.
Andromeda married a Muggle-born, Ted Tonks, and was subsequently disowned by the Blacks, whereas Narcissa, conversely, married Lucius Malfoy, heir of a wealthy pure-blood family; thus, Bellatrix is the aunt of both Nymphadora Tonks and Draco Malfoy, respectively.
Bill is viciously mauled by the werewolf, Fenrir Greyback. Fortunately, as Fenrir was not transformed at the time, Bill did not become a werewolf, though Madam Pomfrey is unable to completely heal his face, and he remains permanently scarred.
Ginevra Molly Weasley (also known as Ginny) is the youngest child and only daughter of the Weasley family. She is Sorted into Slytherin during Harry and Jim Potter's second year.
Originally Sirius mentioned that she and her husband were friends of Snape's when they were at Hogwarts together. Over the next few books however we learn that she is the oldest of her sisters, both which seem to be a bit older than both Snape and Sirius.
The Malfoys are related to the Black family through Narcissa (a first cousin of Sirius Black, Harry's godfather), which makes Draco a nephew of both Bellatrix Lestrange and Andromeda Tonks.
Starkid's "A Very Potter Sequel." So it turns out that Dobby was Draco's real father.
The Heir of Hufflepuff was none other than Cedric Diggory, who was well on his way to fulfilling the prophecy of the Heir of Hufflepuff when he was tragically murdered by Peter Pettigrew. Thus, the prophecy would remain unfulfilled forever.
SHE'S A PROFICIENT AND POWERFUL WITCH
J.K. Rowling has stated one of the reasons Ginny is gifted is due to the fact she was a seventh child and the first female Weasley born in generations, which ties into the superstition of the seventh daughter of a seventh daughter.
Although, as Dumbledore says, Harry's ability to speak Parseltongue is a skill accidentally transferred by Slytherin's actual heir, Voldemort, when he tried to kill Harry as a baby. So perhaps this is one myth with a bit of truth to it.
Lucius Malfoy had a strong dislike of Albus Dumbledore. This is due to two reasons – Dumbledore believed in Muggle rights which contradicted Malfoy's pure blood beliefs. In addition, Lucius was a Death Eater, so he believed that Lord Voldemort was a much more powerful wizard than Dumbledore.
Narcissa's greatest moment, however, was when she chose to betray Voldemort in Harry Potter and the Deathly Hallows. Not knowing whether Draco was alive or dead, Narcissa chose to lie to the Dark Lord rather than risk losing her son.
Draco tried to win Harry's friendship by encouraging him to stick to "the right sort" – i.e., rich purebloods like Draco. Harry's not a bigot or a snob, so he refused to shake hands with Draco, and the rest is history.