Do flying boats carry anchors?
According to a story in Flying Magazine Nov 1956, the Grumman SA-16 Albatross in that story (see page 58) carried an anchor.





For pre-flight, the FAA says:


  Check that necessary marine and safety
  equipment, such as life vests, lines (ropes), anchors,
  and paddles are present, in good condition, and
  stowed correctly.


(FAA)

(wikimedia.org) Nose access on the Albatross.

The answer seems yes.