For this particular instance and company, no. Not because microservices can't work, but instead because of the coordination required between services/api/database that doesn't appear to exist at all in this company.

This said, depending on your application and how it's split up quite often there are easy wins. An example I've seen is a company that had a huge batch reporting jobs for reporting at fixed intervals. Hammered the hell of out production, so was moved to pull data from a read only replica.