Yes. The rules for deciding the residence status of UK Crown Servants are the same as for other groups of employees.
If you leave the UK to work full-time abroad under a contract of employment, you are treated as not resident and not ordinarily resident if you meet all the following conditions:
The HMRC booklet HMRC6 (PDF 560K) Residence, Domicile and the Remittance Basis gives further information regarding the rules of residency if required.
Your residence status would be determined on receipt of a completed form P85.