King, a fellow Atlantan, won the Nobel prize in 1964. Another Georgian, former President Jimmy Carter, earned the honor in 2002.
A representative for Abrams declined to comment on the nomination.
Haltbrekken is among the thousands of people who are eligible to propose candidates for the prestigious honor. That list of nominators includes members of various bodies of government and former prize winners.
The Norwegian Nobel Committee is scheduled to announce a winner in October.
The long list of candidates includes Russian opposition leader Alexei Navalny, the World Health Organization, climate change activist Greta Thunberg, the Black Lives Matter movement, WikiLeaks and Jared Kushner, son-in-law of former President Donald Trump.
Officially, nominees are not disclosed until 50 years after the fact. But individual nominators are free to reveal names they submitted.