Can I be force to pay child support through marrige even if the child is not mine?

Not enough info,

Were you married when the child is born, if so in many places you are considered the father unless challenged.

Also while rare, there are cases of a man who married, the women already had a child and after enough years of acting as the father, the courts ordered him to pay. But this is not the norm What happens is the length of time, and even the relationship of the bio father and more.

So the answer is normally not but it has happened.

The legal father can be forced to pay support even if he is not the biological father.

To say more would require a more detailed question.