No one knows for certain yet except perhaps the author. But possibly yes, there are implications that it is a obligation to continue the legacy and line of Purebloods, thus there is a very big chance that they will have children.
But as said:
Facts are unknown.
In the manga and anime series "Fruits Basket," Tohru and Kyo do get married, but there is no direct indication or confirmation that they have children. Their romance forms an integral part of the conclusion to the story.
Yes. In the very last chapter or the very last book, their grandchild asks what people assume to be their daughter where they are.
yea it happens trust me i read the whole series and have all the manga volumes
No, they are not related. It may seem that way, but in fact they are in no way related.
Yes they do get married.
Tohru likes kyo
Kyo kisses Tohru because he is in love with her.
Yes, Tohru does have children (at least one child) because at the end of the series, her and Kyo's granddaughter was looking for them and her mother told her to call them Oba-san and Oji-san, not Tohru and Kyo.
Tohru and Kyo's daughter is named Hajime, not Kyoko.
kyo was just a kid when he met kyoko (tohru's mom) when she went home from work. kyo later helps her find tohru who got lost
Kyo and Tohru didn't know each other as children, though Kyo knew Kyoko who told him about Tohru.
Generally speaking, in the manga: Tohru and Kyo love each other In the anime; there is a love triangle between Yuki, Kyo, and Tohru Tohru likes kyo because he's kind and gentle with her. He also has a dark past but stays strong.
In the anime "Fruits Basket", Tohru and Kyo share a kiss towards the end of the series as a symbol of their growing romantic feelings for each other.
The little girl at the end of Fruits Basket is Tohru and Kyo's daughter, who is named after Tohru's mother, Kyoko. She is shown to have inherited characteristics from both of her parents, along with a love for the cat zodiac that Kyo represents.
Kyo's hat from when he saved her as a child.
Kyo develops romantic feelings for Tohru throughout the series, while his feelings for Kagura are more platonic.
no.yuki does. yuki piks up kyo's hat and wears it, then gives it to tohru after he helps her coz its not his and kyo doesn't want it bak coz he hates yuki.