Getting number of versions for S3 object

[Lemour-sudo]

Is there a way to get the number of versions of an S3 object without having to fetch the entire list of versions?
The MaxKeys field only tells the set maximum number of versions that can be returned per API call.

I imagine this would be useful for knowing how many versions are there for an object. This could ideally be added as one of the fields returned when calling listObjectVersions.