Yes. The sex of the animal is also important when it comes to producing monoclonal antibodies using mice model. Traditionally, female mice are used for antibody production as these animals can be group housed more successfully than males because females are more docile and less aggressive in social interaction.
Secondly, use young adults for whom the immune response is fairly robust and not affected by previous immune challenges. The robustness of the immune response decreases with age after the period of young adulthood. The recommended age is approximately 6-8 weeks.
Finally, you need to consider the health status of animals used for the production of antibodies. Infectious agents exist that may suppress, modulate, or stimulate the immune system. The use of disease-free animals minimizes the likelihood of cross-reactivity to other antigens the animal's immune system may have encountered.
I have attached below the SOP for the production of monoclonal antibodies in mice.