Can drip edge be affixed using adhesive?
I found this on a site referencing common roofing mistakes.  It confirms that the flashing can be held in place by adhesives. 


Neglecting to install drip edge flashing at the eaves


The missing of drip edge flashings can cause several problems at the bottom of a roof, because these flashings serve a number of purposes:
Drip edge flashings keep insects out of the attic.
They prevent wind-driven rain from entering under the edge of the roof.
They provide a “drip point” for water to drip off from the roof which helps prevent soffit or fascia rot.
They keep shingles from “sagging” as they extend past the edge of the roof.

Solution:

If necessary, pop up roofing nails from the shingles and slide in a metal flashing. Glue the flashing and shingles with bituminous mastic.