No, not exclusive to the WT at all Char, they dont have the monopoly on where the Holy Spirit is sent, as the following from a 'worldly' resource shows:
Spiritual anointing with the Holy Ghost is conferred also upon Christians by God. ( 2 Corinthians 1:21 ) " Anointing "expresses the sanctifying influences of the Holy Spirit upon Christians who are priests and kings unto God.
http://topicalbible.org/a/anointing.htm
Loz x
Edit PS The WTBS aren't the only ones who use this term either.