I agree with Freedom - of course you can. It is tricky...but I've done it for 12 years now. With two kids. And now they are old enough to leave them alone, so I made it!!! ; )
Being a single parent is tough, but doable. Create a network of friends you can rely on for help, and think outside the box with childcare. I did a lot of "swapping" child care, we'd watch each other's kids. It worked quite well.