Sure, I think a few aspects to consider:
Fire safety asks for nothing combustible (wood) in contact with parts that can get hot.
The DPS can fail and spit some sparks, surely add a fuse somewhere, but have some clearance between the PCB and wood.
If you're charging a battery overnight, unattended, you don't want a campfire.
I suggest ventilation for the brick and DPS, not a closed box.
You'll have to decide if you want a (DPS) floating output or earth-ground connection.
If your brick is ungrounded (2-prong) then stray voltage which can damage semiconductors and equipment you are powering from the PSU.
I am talking about Y-capacitor leakage currents in the brick. You can measure ACV from earth-ground to brick output (-) and see if this is a problem.
Main problem I encounter with the DPS is EMI is higher than analog power supplies. I add a CM choke and two Y-caps to earth ground, after the output.
I'm thinking of you using the power supply for "quiet" work.