I'm not entirely clear what you mean by "non-thru-baggage."
If you mean you will have hand luggage only, then it's doable, depending on the delays mentioned previously such as departure and holding.
If you mean you will have checked luggage which you will have to collect and then drop off at check-in again, then virtually no chance. Because you will only have 20 scheduled minutes to do this as baggage drop-off closes 60 minutes before departure.