NOTE: Your question doesn't state how you want the Date and/or Time formatted, nor does it state if you want that formatting to respect the Reader's country's (locale) default Date / Time formats or if you want everyone to see the same formats.
SugarCube doesn't have built-in Date / Time displaying macros, but it would be fairly easy to add your own custom macros/widgets to do that.
If you want custom macros that work exactly like Harlowe 2's (current-date:) and (current-time:) macros then do the following:
1. Create a new Passage with whatever name you like (I used StoryWidgets) and assign that Passage a tag of widget
2. Add the follow markup to the above Passage, it creates the custom <<currentdate>> and <<currenttime>> macros.
<<print new Date().toDateString()>>\
_d to new Date(),
_am to (_d.getHours() < 12),
_hr to ((_d.getHours() % 12) || 12),
_mins to (_d.getMinutes() < 10 ? "0" : "") + _d.getMinutes()>>\
<<print _hr + ":" + _mins + " " + (_am ? "A" : "P") + "M">>\
3. Add markup like the following to one of your passages to use the new customer macros.