Yes, air-operated oil dispensing pumps can handle high-viscosity fluids, but their effectiveness depends on several factors, including the pump design, the specific viscosity of the fluid, and the operating conditions. 
Air-operated pumps, particularly diaphragm and piston types, are well-suited for handling a range of viscosities. Diaphragm pumps use a flexible diaphragm driven by compressed air to create a pumping action, which can handle thicker fluids due to their robust design and ability to generate significant suction. Piston pumps, on the other hand, use a reciprocating piston mechanism, which can also manage high-viscosity fluids effectively, especially when designed with larger pistons and cylinders to accommodate thicker substances.
The ability of these pumps to handle high-viscosity fluids is enhanced by their adjustable air pressure, which allows operators to increase the force applied to the fluid, overcoming resistance due to viscosity. Additionally, the materials used in the pump construction, such as PTFE or Viton, can be selected to ensure compatibility with the specific fluid being pumped, preventing degradation and maintaining efficiency.
However, there are limitations. Extremely high-viscosity fluids may require specialized pumps with higher power ratings or additional features like heating elements to reduce viscosity through temperature control. The pump's inlet and outlet sizes, as well as the length and diameter of the hoses used, also play a crucial role in determining the pump's capability to handle viscous fluids.
In summary, while air-operated oil dispensing pumps can handle high-viscosity fluids, selecting the appropriate pump type and configuration is essential to ensure optimal performance and efficiency.