Currently, it is not possible to define property constraints in Wikibase Cloud. Enabling the Wikibase Quality Constraints extension in Wikibase Cloud will be incredibly useful for including the values that are allowed for a particular property to help ensure that constraints are met. This is even more critical for projects with multiple users who may contribute directly in the user interface.
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For the record, I've seen several users coming from Wikidata interested in this over the past year.
On Wikidata there are also reports related to constraints which are or were done by KrBot and DeltaBot (constraint violations) so if those are part of what you are looking for they might have to be done separately. Or it might be that the latter bot could be made to work without the extension and at least give the reports. It looks like it relies on certain IDs that need to be changed and also the endpoint https://query.wikidata.org/bigdata/namespace/wdq/sparql would be more like https://furry.wikibase.cloud/query/sparql