Question

can establish a coefficient of static friction between two surfaces, one being a fluid.

Answer 1

Fluids have viscosity, which is similar to friction in that it is a resisting force.

Answer 2

can establish a coefficient of static friction ?

Answer 3

I would say no. Static friction implies that there's no relative motion, so there would be no velocity-dependent drag. It arises because the imperfections in the two surfaces "catch" on each other, and solid surfaces don't have free molecular movement, so there's resistance. Fluid molecules can flow, and as such I would think that any static resistance constrained to the surface would be effectively zero.