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No, but don't expect anything remotely like fast updates. The developer has a unique concept which includes massive branching and different facial expressions for each branch, even superficially similar ones. The developer also has a demanding full-time job.

As a result, updates are rare and may not necessarily advance the story much depending on the branching-related overhead. Personally, like most people I wouldn't need so much perfectionism around the branching, but apparently that's precisely what motivates the developer and ensures that we get any progress at all. So instead of complaining I am exploring the branching while waiting up to a year for the next update.

Cosy Creator hasn't replied yet, so I am taking the liberty of telling you what I know. 

The first release was about two years ago and included the first 10 days. Since then there have been 10 more releases and 16 new in-game days. I think that's pretty fast for a game of this quality.

Elsewhere, Cosy Creator has recently provided an outline of future game content. Sounds to me like material for another 2 years of updates at this rate at the very least, maybe even a lot more. Cosy Creator did not mention additional girls, and with the potential love interests we have encountered so far, it already looks like a potentially huge harem. On the other hand, there will be time skips to university, so some university students may be added. (At the very least Samantha, who already has a crush on the MC but is so far classified as a side character.)

I am not sure what you mean by limit. A limit on the harem size? Since the novel is essentially kinetic (i.e. linear), the harem has the same size in every play-through.