Can a criminal inadmissibility finding be overcome through a humanitarian and compassionate application?

In some circumstances, yes, an H&C application can potentially overcome certain criminal inadmissibility findings, since H&C relief is designed as a general, discretionary exception to the normal rules where sufficiently compelling humanitarian and compassionate factors are present. It is not, however, a routine or reliable substitute for rehabilitation, and it isn't available at all in every situation, particularly for the most serious categories of inadmissibility.

Where it may be relevant, the underlying criminal history becomes part of what has to be weighed against the humanitarian factors — establishment, family ties, hardship, and any children's best interests — rather than something separate from the analysis. The more serious the underlying criminality, the stronger and more compelling the humanitarian factors generally need to be to outweigh it, and some categories of serious inadmissibility may not be capable of being overcome this way at all.

Because this is a complex, discretionary, and fact-specific area where the interaction between criminal inadmissibility and H&C relief varies considerably case by case, anyone considering this route should get experienced legal advice about whether it's realistically available in their specific situation, rather than treating H&C as an automatic fallback for a criminal inadmissibility problem.