Without seeing what the wire is, I couldn't say for sure. We're talking about very low power here, so if the wire is in good shape, I would guess it would, but double check with an electrician who knows local code and can put eyeballs on it if you have concerns.
I don't have any pics on the Meanwell supply install, but it is pretty plug and play--positive to positive, negative to negative on the DC side. The leads are all labeled. The AC is standard. Nothing special required there.
On the DC side, I used two terminal blocks: one for the positive connections, one for the negative. On the left side, I put each of the wires coming from the stations (positive or negative, as the case may be), with the inline fuses. On the right side of each block, I connected the leads from the power supply with jumper wires (my supply has 3 leads). On the right side of the blocks, it worked like: pin 1: first lead from supply; pin 2: jumper from pin 1; pin 3: jumper from pin 2; pin 4: second lead from supply, pin 5: jumper from pin 4, etc. It's the same on the positive block and negative block, just different colored wires from your pair.
Depending on what terminal block you buy, it might come with jumpers. I just made my own. I bought two small spools of wire (one red, one black) to make it easy to keep positive/negative straight. I have 8 total stations connected, so I balanced the number of connections across each lead of the 3 leads on my power supply. You wouldn't necessarily even have to do that. It's not like the iPads load that supply significantly.
Hope that helps!
Doug
Q