A couple factors influence the availability of time range properties in the Insert Measure Item window and Edit Measure Item window.
Properties for Time Unit, From/To Year, Period, and Offset only display when the Time Range property for the view is set to Yes. See Why isn't there a Section for Time in the Insert/Edit Measure Item Window?.
In cases where Time Range = Yes and you select multiple measure items in the windows, all of the properties will display but some of them may be disabled. Only properties that the selected measure items have in common will be enabled.