Can you break doors by throwing things at them?

According to this thread (emphasis mine):

Something I've not seen mentioned is the fact that it's possible to demolish weakened walls and many doors. Obviously explosives will destroy them, but simply throwing junk at them gradually causes damage. Of course, boxes and extinguishers quickly break, but barrels are indestructible. Throw one at a door or weakened wall about a dozen times and it'll eventually smash through.

So, try throwing the fridge a few times, or finding an indestructible object like a barrel, and it should work.

This should also work for Lee's Apartment. Per the wiki link in your question (emphasis mine):

But when Jensen arrives at Lee's apartment in the Youzhao district by either hacking the terminal next to his door or breaking it, the apartment is empty.

From the same thread I linked above, it does not look like this requires any special augments (emphasis mine):

It's a pretty good way of saving Praxis points early game, you don't need to upgrade hacking to loot apartments when you can simply break the door down. If you keep your eyes peeled for cracks in the walls, you never need to spend the Praxis and energy to punch through them. It's of more use on a replay when you have an idea of where the handy weak walls are of course.

You could also try looking for a weakened wall (look for cracks), and then throwing the fridge at one of those (though I don't recall offhand if there are any weakened walls to get into Lee's Apartment.