A pump is provided that includes a body made at least partially of an elastomeric material and an inlet port and an outlet port, with each port being coupled to the body. The pump further includes a flow passage formed in the body and extending between the inlet port and the outlet port, with at least a portion of the flow passage being normally closed and with the inlet port being fluidicly uncoupled with the outlet port when the pump is in a free-state condition. An actuating device is coupled to the body and is operable for sequentially deforming the body to create a cavity within the normally closed portion of the flow passage, the cavity being in fluid communication with the inlet port, thereby drawing a packet of fluid from the inlet port into the cavity and propagating the cavity and the packet of fluid contained therein toward the outlet port.