Upvote:2
I make the following assumptions. If any is incorrect, please advise.
The answer is no, your husband cannot get one, but he also has no use for one. The EEA family permit is valid only in the United Kingdom. Your husband already has indefinite leave to enter or remain, so the EEA family permit provides him with no benefit.
If you are asking because you want to travel to the Schengen area, then your husband will need to apply for a Schengen visa. The application must be submitted to the representation of the country that will be your "main destination."
If your husband will be traveling with you, or traveling to join you, he should apply for the visa as the family member of an EU citizen, including a copy of your passport to support that claim. In that case, the application will be free of charge, should be processed expeditiously, and will be judged according to far less restrictive criteria.
If you are asking because you want to travel to any other EU country that is not in the Schengen area, your husband will need to apply for a visa from the country in question. The more favorable conditions of the visa application process also apply in this case.
If you are asking because you want to move to another country, the question is off topic here; instead, you can ask at Expatriates.