Considering RMS a careful person, he probably had backups for all the important information. However, for a person like him, that laptop is probably much more important: he needs to get a specific laptop that respects his freedom, as that one did, so he's probably going to be a bit behind on his e-mails until he gets a proper replacement.
"Most of the time I do not have an Internet connection. Once or twice or maybe three times a day I connect and transfer mail in and out. Before sending mail, I always review and revise the outgoing messages. That gives me a chance to catch mistakes and faux pas." http://richard.stallman.usesthis.com/