With the recent inclusion of core orbitals to the radial-overlap component of the isospin-symmetry-breaking (ISB) corrections for superallowed Fermi $\ensuremath{\beta}$ decay, experimental data are needed to test the validity of the theoretical model. This work reports measurements of single-neutron pickup reaction spectroscopic factors into ${}^{63}$Zn, one neutron away from ${}^{62}$Zn, the superallowed daughter of ${}^{62}$Ga. The experiment was performed using a 22-MeV polarized deuteron beam, a Q3D magnetic spectrograph, and a cathode-strip focal-plane detector to analyze outgoing tritons at nine angles between ${10}^{\ensuremath{\circ}}$ and ${60}^{\ensuremath{\circ}}$. Angular distributions and vector analyzing powers were obtained for all 162 observed states in ${}^{63}$Zn, including 125 newly observed levels, up to an excitation energy of 4.8 MeV. Spectroscopic factors are extracted and compared to several shell-model predictions, and implications for the ISB calculations are discussed.