yes females will sometimes spawn without a male. Not very often though.
Ok cory breeding 101;
To induce the fist spawn is the hard part. I have always gotten my fist spawn by doing a large cooler waterchange while a storm is coming in, open windows and doors to let in the barometric pressure change and the tank temp needs to drop about 3 degrees while the barometric pressure change is hitting the tank. May take a time or 2 but with the afternoon thunder storms you can time it pretty easily!
While they are spawning you want to get the eggs out, when they are in spawning mode your hand in the tank does not phase them at all! If the eggs get hard, takes 1-2 hours from depositing for them to get hard. they are much harder to move. First laid they are supple and sticky. Standard razor blade at a 45* angle to the glass and gently scrape them off and roll them onto the blade. Have a 5-10g tank standing by with new water. Gently roll the eggs onto the side of the fry tank, try to group them if you can. Once most all of the eggs are moved (you will squish quite a few your first few times) then you dose the fry tank with methaline blue (will stain silicone so an older tank is better) Add a small cycled sponge filter to the center of the tank. Under each patch of eggs you need to put an air stone, this keeps the water flowing over them preventing fungus. Corys place their eggs in 2-4 spots all with decent current multiple places to help prevent predation and current to keep the eggs from getting fungus. Not all of the moved eggs will stick to the glass, thats fine they end up rolling over to one of the air stones and getting flow that way.
Bad eggs will turn very very blue, remove those with a safety pin, just stab and yank. Good eggs will be a golden sometimes with a touch of blue from the meth blue, the bad ones really stand out though!
Once your eggs hatch start daily small water changes to remove the meth blue. and/or add in a box/cartridge air driven filter with carbon to remove it.
Do not feed till the egg sacks are mostly used up. Then you will want to feed with a good pellet like new life spectrum brand, I like using their thera a formula it has garlic in it. No need to mash the pellets, they get soft and the corys can munch on them.
A turkey baster is your best friend when cory breeding! Use it to clean the tank bottom and do your water changes. Put the water into a dish of some kind so you can make sure you didn't get any fry.
Once they fry start looking like tiny corys it is time to add a hang on filter. Make sure the intake has a good cover like a thick sponge or something. Corys love playing in flow, this helps them grow faster and stronger. Just using a sponge at this point they grow slower and weaker.
Only give them processed foods! Anything other than pellets or flakes and they could choke and die so no blood worms or anything like that.
As soon as they are large enough put them in an established planted tank, they grow so much quicker in that kind of environment, always something in there for them to nibble on. Sterile fry tanks are great for getting them hatched and some size on them but move them to a real tank as soon as you can (without them getting eaten or lost)
so theres how I breed corys