No. Direct communication between inmates at different facilities, or between male and female inmates within the same system, is strictly prohibited. There are no official lists or programs that facilitate inmate-to-inmate contact of any kind. Facilities work hard to prevent exactly that kind of communication because of the security and safety concerns it creates.
What does exist is something different and entirely legitimate. There are pen pal services and platforms where an inmate can post a profile with their name and personal information so that people on the outside, women who are not incarcerated and are interested in corresponding with inmates, can reach out and begin a correspondence. These are civilian women who want to write to someone inside, not inmates themselves.
That distinction matters legally and practically. Writing to someone on the outside is permitted. Writing to another inmate at a different facility is not.
If your husband is looking for additional correspondence and connection beyond what family and friends provide, pen pal programs are a legitimate avenue. Websites that facilitate inmate pen pals allow him or someone on his behalf to create a profile that interested people can find and respond to.
Worth noting is that if you are his wife and you are the one asking this question, the fact that he wants contact from outside women is something worth having a direct conversation about rather than just a logistical question to solve. What he is looking for and why is a more important question than how to make it happen.