You can apply for residence permits for an accompanying partner or child/children. However please note that you will have to submit bank statements showing that you have enough funds to support yourself and your family members during your period of study. You can find further information on the Migration Agency’s website.
You would also need to purchase private insurance for your family members. The university provides emergency health insurance for the individual student, but this insurance does not cover family members.
Even if you are planning on registering with the Tax Agency and applying for Swedish personal identity numbers for your family members, they will need additional private insurance for the period during which their application is handled by the Tax Agency.