Are there ways to induce lactation in a non-pregnant woman by suckling her nipples over time?

A slight chance. There have been case reports of this being successful, but there are many factors. If the woman has previously lactated, there is a better chance for success. It is unlikely induced lactation can be enough for all the infants needs. A nursing supplementor is often used. Even if milk is scant, the act of breastfeeding can provide bonding with the mother and infant.