Passing chords are not generally analyzed as chords; rather, they are looked at as the result of contrapuntal motion and described in terms of voice leading but without giving them specific labels.
Sometimes, of course, a label applies, and then it might be used for convenience, but there aren't rules, per se, about which chords can appear as passing chords in specific contexts. Such "rules" would simply be restatements of more general voice-leading rules.
In the specific case of this question, it would just be labelled I V[4-3] I6
, and itits permissibility would be determined by the rules of voice leading. In this case, no problems are presented.