Can a home owners association pursue deceased heirs?

You probably mean can an HOA pursue heirs of a deceased unit owner, or you might mean deceased heirs: in any event, some deceased person(s) owes the HOA money.

The association's best leverage is over the title of a condominium unit, and if the deceased person's estate is involved with the HOA, then the HOA can maintain leverage over the title by filing a lien against it for monies due.

The governing documents detail how the HOA collects unpaid monies due from unit owners. The association's counsel is the best source of advice about how and whom to pursue in the case involving a deceased person.

If the HOA wants to pursue a deceased person for other than monies owed, again, the association's counsel is the best source of advice.