Most of my experience with Honda engines is the 94 – 97 model, but I’m assuming that the 93 is pretty similar.
The distributor actually has several seals. One is internal. When it is leaking, oil leaks INSIDE the distributor, and eventually drips out from where the cap meets the distributor body.
That seal is no longer available from Honda, but can be found in the aftermarket. I know parts train sells it, and I’m about 99% certain that your 93 uses the same seal as the 94 – 97 engine. It is part number W0133-1640599 and sells for around 20 with shipping.
I have also seen the oil pressure switch (turns on the oil warning light) leak a lot of these engines. It is on the back side of the engine, between the block and the firewall, up above the oil filter. An oil leak there will generally run down the back of the engine, and drip off the back of the oil pan directly onto the exhaust system where it will burn off, and smoke like crazy.
The switch is readily available pretty much everywhere, and isn’t terribly expensive. My only warning is that the ones you buy from Auto Zone for like $13 are garbage, and are very likely to either leak again, or turn your oil light on for no reason, so you might want to buy from Honda, or at least get a good brand name from aftermarket, and not go with the Auto Zone piece. It should be pretty easy with a flash light to get under there and see if there is oil coming from that switch.