There's no real problem doing that. You just need to be aware of what the source impedance of the sensor is, and the input impedances of whatever you connect to it, so you don't overload the sensor (which will then give false readings).
Looking at the datalogger circuit, there's part of it, U1C, labelled 'differential pressure measurement' - is this the input you want?. In order to feed two devices from a sensor like that, it would be easiest to connect both to the output of U1C, rather than directly to the sensor, plus it saves an extra amplifier as well!.