You Do Need power plug adapter while traveling from Pakistan to Vatican City.

Here is Why You Need An Adapter

The outlet and plug type used in Vatican City are C, F and L and in Pakistan are C and D. This is how they look like.

Pakistan

In Pakistan, outlets of type C and D are in use.

Type C

Type D

Vatican City

In Vatican City, outlets of type C, F and L are in use.

Type C

Type F

Type L