Yes! I suggest using the hatcheries they have on the forums. It guarantees dragons and helps out a lot.
If you get as many clicks as I do they should hatch in four to five days. If the eggs get within 2 days of dying without cracking almost open you should start visiting a hatchery, I suppose.
I suggest using 2 hatchery sites, if you need help working those sites I can help you. 2 max so they don't get sick. Usually they should hatch in 2-3 days. Hatchlings grow in 3-5 days. Depending on how and variables and etc etc
I think I'm good on hatchery, my babies seem to have accumulated a good amount of clicks since they aren't even a full day old (http://dragcave.net/user/Rokkushun) I'm using a offsite clicker where you click links for other games like these and you get credits, then you can put up links and everytime someone clicks one you lose a credit, with the plugins I use though I get around 1 thousand credits in 5-10 minutes.