Just a correction here, the priest cannot make absolution dependent on the person turning himself in because absolution doesn’t depend on the person doing his assigned penance. He can counsel the person to turn himself in, of course. The priest would only withhold absolution if the person were not truly repentant (unlikely if he’s going to bother to go confession) or if he says he intends to keep on sinning (another unlikely scenario). The criminality of a sin has nothing to do with absolution.
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Thanks, Della, for catching my error, and my apologies to all for not having been more careful. Absolution is not dependent upon doing the penance prescribed by the priest. The point I wanted to make was that the priest can, I think, refuse to grant absolution if the penitent tells him he has no intention of turning himself in to the police, since this could be taken as evidence of a lack of true contrition. But it would probably be a very rare situation. It’s possible, I suppose, to have true contrition in the sacramental sense wtihout being disposed to take one’s secular legal medicine.
A person receiving the sacrament is nevertheless personally bound to do the penance assigned, (Canon 981), but this does not invalidate absolution once given. As the Catechism of the Catholic Church points out, penance goes to expiation, not absolution:
"Absolution takes away sin, but it does not remedy all the disorders sin has caused. Raised up from sin, the sinner must still recover his full spiritual health by doing something more to make amends for the sin: he must “make satisfaction for” or “expiate” his sins. This satisfaction is also called “penance.” (CCC, No. 1459.)
Again, thanks to Della, and I will be more careful about my doctrinal statements in the future.