Yes. That is assuming you pass a home study.
A friend of mine fostered as a single dad and adopted as a single dad. It seemed like he had mostly, if not only boys placed with him.
The two boys he adopted have the same biological parents, one he had already adopted and he was getting ready to close his license to foster when he received a call if he was interested in taking a foster placement that a sibling to his son was just born (also a boy) and would be going into foster care. He took the placement and ended up adopting him too.
As far as who would be placed with you, it is up to the agency to decide that. They place kids with what they feel would be a good fit for a home for them. It could be boys or girls, you can also choose to only take specific types of placements. You can also turn down requests for placements if you don't feel it's the right situation for your home and/or family.
I started foster care when I was young and single and I didn't think I could parent a boy at the time with no male role model around so I mostly just had girls. Here and there if it was a sibling set I had a boy, but mostly girls who had been abused either sexually or physically and were afraid of men. I was wrong about that, I have 2 sons now and I've done fine parenting them too.
You can specialize in the type of placements you take. When I was young for me it was girls that were sexually & physically abused. As I got older and married, I mostly now have kids who come from homes of neglect from drug addiction. Some only take teenagers, some prefer kids with special needs and disabilities.
Some single men are a better fit for children based on the situation the child is coming from. Some come from homes where women were the abuser and a single male might work better for them. Some may display symptoms of aggression towards women so they may place them with only men as foster parents too.