Can you have children in Skyrim?
Solution 1:
The family interaction you can have with your spouse are;
- to get the lovers comfort bonus
- to get some money from a home shop
- for a daily meal
Beyond that there is no interaction you can have with your spouse. And no sex out of marriage either, this is a wholesome fun game about slaying dragons.
Solution 2:
Yes, with the Hearthfire DLC.
Some of its features:
- Ability to adopt up to two children, who will move into your house.
- Interact and play games to raise your new family.
- Allow your child to keep a pet after it follows them home. Some creature followers can also be kept as a pet.
- If you wish to adopt children without moving into a new home, you may add a child's bedroom to an already purchased home in a major city.
Source: UESP wiki, "Skyrim - Hearthfire" article
Solution 3:
You can't have your own, but you can adopt children from the Orphanage in Riften using this mod.
There is also a video showing how it's done.
Personally didn't try it myself, but looks like it cause the child you adopt to live in your home and act as a follower - roaming around the house, sitting and eating.
Not much, but better than nothing! :)