No, not necessarily; it should depend on context, and that context could be quite complicated.

Factors like seriousness of the crime, the context in which it was committed, if this is a repeat offender or a one-off, if the person was on a track to become a citizen, if their country of origin is going to punish / kill them for having come to Australia in the first place, etc. Crimes committed here should be tried and punished here, and only the most extreme, egregious, heinous and/or hate-filled crimes should end with the deportation of a migrant, and a level of criteria need be met before that option becomes the most viable one.