Born in 1965 in Acre to parents who immigrated from Morocco, Malka enlisted in the Israeli Defense Forces in 1983 and served in the Intelligence Corps till 1992.

He then served as an economics lecturer at Netanya Academic College and the Herzliya Interdisciplinary Center.

In 2016, he was appointed Dean of the School of Banking and Capital Markets at the Academic Center for Law and Business in Tel Aviv.

In 2014, he served as a consultant to the Locker Committee, the Prime Minister's commission to review the defense budget.

During his tenure, he signed an agreement establishing formal diplomatic relations between Israel and Bhutan on December 12, 2020, with the Bhutanese Ambassador to India Major General Vetsop Namgyel.