Fluid pumping system and method comprise a pumping chamber with inlet and outlet ports. The pumping chamber is in thermal communication with a thermal system for alternating the gas temperature inside the pumping chamber between heated and cooled states. A first valve controls a first fluid communication between the pumping chamber and the external environment, and a second valve controls a second fluid communication between the pumping chamber and the fluid container. The pumping chamber and the valves cooperate to generate a vacuum and a negative potential pressure of the gas inside the pumping chamber by the effect of the gas temperature alternation when the gas passes from a heated state to a cooled state and by controlling the first and second fluid communications. The generated vacuum and negative potential pressure inside the pumping chamber enable pumping of the fluid from the fluid container inside the pumping chamber.