Intinction by an Extraordinary Minister

Yes, if that is the form of Communion under both kinds which is practiced in the particular parish or institution. In this case, however, there needs to be another extraordinary minister or server holding the chalice so that the minister can carefully execute the intinction without spilling any drops.

In any case, the person receiving is never to execute the intinction himself. This norm is from the directives of the bishops of the United States for Communion under Both Kinds, paragraphs 48-50. These directives can be found in every altar missal.