Is it possible to define a min & max date range for a Date property?

If you have the Extension Kit you can easily create validation rules. 

If not, you would have to create a validation rule directly on the property definition. It is possible in vb script, but that is not a long term solution knowing that Microsoft has set out to stop using vb script some time in the not too far future. You can learn about Date functions in vb script here: https://www.w3schools.com/asp/asp_ref_vbscript_functions.asp 

PropertyCalculator free vault application (https://catalog.m-files.com/shop/property-calculator/) would also allow this and is probably quite straightforward to implement. (duplicate error case with DaysAfter for the other rule).