Yes, but only if you nature breed. Here's how you do it:
Put two compatible Pokemon in the Daycare Center. Make sure the female has the same nature as the one you want. (example, if you want a bold nature, make sure the female has a bold nature). Ok, this might take a while, but you need to get a bunch of eggs from the Daycare man. Hatch them all, and try to find one with the same nature. There is a 4% chance this will happen, but it does happen. Have faith :P. After you do this, take the Pokemon with the nature you wanted (make sure it's female) and equip it with an everstone. Breed it the same way. Now the eggs will have a 50% chance of being the same nature. This takes a while, and it's a pain, but you now have a Pokemon you can breed over and over again who's eggs have a 50% chance of being the nature you want them to be. :P I know this doesn't make much sense, but it's 11:45 here, and I'm really tired. PM me if you need any more help, or need me to clear anything up for ya :)
Sincerely,
Motsuko Live