No, they are all just a simple hose, no filter. That drain hose is situated at the bottom of the evaporator case, so all the condensation (ideally) should run out. Your hose may be just hitting the evap core itself or a styrofoam liner (not sure how far you are trying to poke it in there). I haven't taken my Accord case apart but I used to design aftermarket evaporators. There usually isn't a great deal of extra room in there.
I haven't had my Accord's evaporator out, but as a general rule, evaporator drains have a trap in them to keep outside air from blowing in (due to the pressure differential). My guess is that the hose followed the curve of the trap down, and then hit the wall of the tubing on the up curve.
Being that these cars have a cabin air filter, I'd sooner pull out the filter and snake a camera in there to see if you have a clear shot at foaming up the evaporator core from that much larger opening.
FYI, foaming self-rinsing coil cleaner is available at Home Depot. It is important to follow the instructions. The chemical is pretty caustic, and must be rinsed clean by condensate water. It should NOT be allowed to dry on. So I make sure to only clean my coils (on window and fixed air conditioners, but I suppose this applies to automotive use as well) on a hot day where enough condensation will be created to rinse them off.
Also, next to the coil cleaner spray, you will find "pan tablets". These are like a urinal mint for air conditioners. Drop a couple in there, and they slowly dissolve and ensure that algae does not clog your drain (for the following season).
You've got my interest piqued enough to pull my gen 9 cabin air filter to see if I can chuck a few pan tablets in there as preventative maintenance...