Certainly. I've successfully deployed it to over 500 SMBs where it runs on-site completely unattended on desktop grade machines. That's where it really shines. On my own server I would probably go with SQLite or PostgreSQL, but in this case I specifically picked Firebird for its ultra-low maintenance, resiliency against corruption by system crashes, foolproof* way of moving over data (single file copy), and more than good enough feature set while retaining a low footprint. Works wonders.
Last October I went to the Firebird Conference in Berlin. It's true that the community is fairly small and does not attract a lot of new blood. There are however some very knowledgeable people there who've been around often since day 1. From what I've heard, it's hard to say much about the number of deployments, because it just keeps working, and (not having a reason to) users don't reach out. Most came from InterBase, decades ago. Supposedly software provided by the Russian tax office uses Firebird Embedded...? That adds up rather quickly already. It's unfortunate that nowadays few consider it. Desktop software taking the backseat and the abundance of alternatives play a role in that. The slow development pace is good for stability, but otherwise doesn't help either.
*I flipped a single bit in my Firebird distribution to have the server process set an exclusive read lock in addition to its exclusive write lock, so that an open database can't be copied—the only thing that could go wrong.