Possibly, but that would require more than just a MOSFET. Should be something flipflop-like that is able to switch off power to MCU and sensors when explicitly triggered by signal from MCU, but must also be able to survive (not switch off) during MCU deepsleep (cycles) and use very little power.
(I have not seen examples for this yet.)
Based on your link I was able to find 2 (max 2A) boards.
They draw up to 5 uA, which is a pity for low-power applications.
(Not sure if that is quiescent current or usage at max load.)