Precise measurements of black hole (BH) masses are essential to understanding the coevolution of these sources and their host galaxies. In this work, we develop a novel approach to compute BH virial masses using measurements of continuum luminosities and emission line widths from partially-overlapping, narrow-band observations of quasars; we refer to this technique as single-epoch photometry. This novel method relies on forward-modelling quasar observations to estimate the previous properties, which enables accurate measurements of emission line widths even for lines poorly resolved by narrow-band data. We assess the performance of this technique using quasars from the Sloan Digital Sky Survey (SDSS) observed by the miniJPAS survey, a proof-of-concept project of the J-PAS collaboration covering $\simeq1\,\mathrm{deg}^2$ of the northern sky using the 56 J-PAS narrow-band filters. We find remarkable agreement between BH masses from single-epoch SDSS spectra and single-epoch miniJPAS photometry, with no systematic difference between these and a scatter ranging from 0.4 to 0.07 dex for masses from $\log(M_\mathrm{BH}/\mathrm{M}_\odot)\simeq8$ to 9.75, respectively. Reverberation mapping studies show that single-epoch masses approximately present 0.4 dex precision, letting us conclude that our novel technique delivers BH masses with only mildly worse precision than single-epoch spectroscopy. The J-PAS survey will soon start observing thousands of square degrees without any source preselection other than the photometric depth in the detection band, and thus single-epoch photometry has the potential to provide details on the physical properties of quasar populations not satisfying the preselection criteria of previous spectroscopic surveys.