Sure, you can do that. There are sites doing this, many more did that in the past. Most failed at some point because the amount of work, knowledge and dedication for this to reach a critical mass of uptodate meaningful data is to big to survive longterm.

And in the first place you will be very busy to figure which metrics you want in the first place. You basically need a complete set of them before you even begin for serious, because otherwise you will invalidate all older entries if you add metrics later.

Thinking about, tags are popular today, several media centred-sites are using them to allow a kind of freeform-metric to describe content. Maybe with modern solutions you can do something machine learning-voddoo to extract tags from reviews and generate meaningful metrics for describing impressions of a movie.