It is possible, but depending on how long/short a time it takes to get your luggage it might involve a wait, and definitely a bus change in Chania.
The last bus from the airport, and the only feasible one for you, is currently showing as 2240:
That is supposed to take 30 minutes, so wouldn't connect with the 2300 bus to Stalos, but you would be in time for the 2330:
(Note there are 2 timetables including Stalos, the Kolibari and Gerani ones. Ignore Pano Stalos, that is the old village inland)
Total cost for the 2 buses is about €4 per person.
Or you could get a taxi, cost showing here as €39:
My concern would be that by the time you go, one or both of those late buses may have been withdrawn. My advice would be to take the hit of the taxi, you will arrive much more quickly even though it would cost you about €30 more, but I suppose if you are a bit late and don't get out of the airport till 2230 or so it could make sense to get the bus. Your call, naturally.