I believe that you can with the proper technique, but it won't be simple because this craft inexplicably has a massive amount of dead weight in RCS fuel.
I think that if you burn all your RCS immediately you should be able to make the landing.
If you're desperate, you could also use the unlimited EVA jetpack fuel to literally get out and push, which is very slow but free.
Edit: I just read your opening post more carefully, and that is seriously not how you do it. When setting your initial interception orbit, aim for a periapsis no lower than 10k. Then when you get to periapsis, circularize. This puts you in the lowest, slowest stable safe orbit you can be in. Then when you come to land, you have a much lower amount of velocity and time to deal with, so it's a lot easier to time it correctly.
The stock craft should have a couple hundred extra m/s dv I think to make the landing comfortable for a player with the right technique, but it should not be difficult for you to make it reasonably close to landing safely if you are doing it right.
In my first attempt, I crashed on the Mun, but my command pod survived just for example.