Pulse, yes, as is demonstrated in the video. Blood pressure, in a calibrated sense, is a lot harder to measure without directly tapping into a vessel or putting a cuff on a patient, both of which are invasive and/or annoying over a long period of time or for chronic / long-term patients.
But a few derivative measures of circulation should be determinable. Both skin color and temperature will relate to blood oxygen levels and circulatory efficacy. It should be possible to note when a patient's circulation is no longer effective, a low blood-pressure situation or heartbeat irregularity.