Yes. But in this case of a sticky polymer it will be easier with a DMA device that can measure using the frequency of oscillation principle. Place the sticky polymer between the two shafts while the bottom shaft rotates the top shaft will measure the amount of energy transmitted through the sample from where you can deduce the storage modulus and loss modulus.
Dear Pablo, try making an sandwich with thin metal sheet (shaving blade). Apply the polymer in between and use single cantilever mode. Apply a baseline correction file to subtract the metal sheet contribution to signal.
TA Instruments offers a special clamp for measurements of powders using the cantilever configuration. I tried the clamp for some hot melt adhesives and thermosets - it worked just great as well.