Yes. If the parent who is not living with the child has income which has not been taken into account, has hidden their earnings or has assets of over a certain value (other than in their home or business), then the CMS may increase the calculation.
The CMS may also reduce payments if the circumstances of the parent who is not living with the child change or if the child stays with that parent overnight. There is also a nil rate band for non-resident parents who have special circumstances such as being a student.