The second repeating fast radio burst source , FRB 180814.J0422+73 , was detected recently by the CHIME collaboration . We use the ten-year Fermi Large Area Telescope ( LAT ) archival data to place a flux upper limit in the energy range of 100 MeV - 10 GeV at the position of the source , which is \sim 10 ^ { -11 } erg cm ^ { -2 } s ^ { -1 } for a six-month time bin on average , and 2.35 \times 10 ^ { -12 } erg cm ^ { -2 } s ^ { -1 } for the entire ten-year time span . For the maximum redshift of z = 0.11 , the ten-year upper limit of luminosity is 7.32 \times 10 ^ { 43 } erg s ^ { -1 } . We utilize these upper limits to constrain the FRB progenitor and central engine . For the rotation-powered young magnetar model , the upper limits can pose constraints on the allowed parameter space for the initial rotational period and surface magnetic field of the magnetar . We also place significant constraints on the kinetic energy of a relativistic external shock wave , ruling out the possibility that there existed a gamma-ray burst ( GRB ) beaming towards earth during the past ten years as the progenitor of the repeater . The case of an off-beam GRB is also constrained if the viewing angle is not much greater than the jet opening angle . All these constraints are more stringent if FRB 180814.J0422+73 is at a closer distance .