Galaxy pairs with separations of only a few kpc represent important stages in the merger-driven growth of supermassive black holes ( SMBHs ) . However , such mergers are difficult to identify observationally due to the correspondingly small angular scales . In Paper I we presented a method of finding candidate kpc-scale galaxy mergers that is leveraged on the selection of X-ray sources spatially offset from the centers of host galaxies . In this paper we analyze new Hubble Space Telescope ( HST ) WFC3 imaging for six of these sources to search for signatures of galaxy mergers . The HST imaging reveals that four of the six systems are on-going galaxy mergers with separations of 1.2 - 6.6 kpc ( offset AGN ) . The nature of the remaining two spatially offset X-ray sources is ambiguous and may be associated with super-Eddington accretion in X-ray binaries . The ability of this sample to probe small galaxy separations and minor mergers makes it uniquely suited for testing the role of galaxy mergers for AGN triggering . We find that galaxy mergers with only one AGN are predominantly minor mergers with mass ratios similar to the overall population of galaxy mergers . By comparison , galaxy mergers with two AGN are biased toward major mergers and larger nuclear gas masses . Finally , we find that the level of SMBH accretion increases toward smaller mass ratios ( major mergers ) . This result suggests the mass ratio effects not only the frequency of AGN triggering but also the rate of SMBH growth in mergers .