If I want to pursue correspondence education .is it compulsory to have the centre of that university in our city?

Sure Mehak you can pursue correspondence studies from outside your city. Alternatively you can convert your BA into correspondence and travel to someplace like Chandigarh (a nearby alternative to Jammu) to pursue Design studies at a better level. If you're creative, you can always consider going for

Dear Mehek, Distance mode means to get education from distance. So it is not mandatory to pursue any course from the same city where u belongs to.

No this is not compulsory

Ignou university provide study center in every states of india nd 27 countries