Yes, you can apply for permanent residency in Sweden if you have a Type D visa. You can apply for the permanent residency permit after having the residence permit for 3 years, and it is valid for a lifetime. 

The procedure to apply for permanent residency in Sweden is given below.

Step 1: Apply for a residency permit in Sweden

Step 2: After obtaining the residency permit, apply for the Sweden D visa.

Step 3: Check your eligibility for permanent residency

Step 4: Submit the duly filled permanent residency application

Step 5: Wait for the decision