If so, it depends on your location. You didn't say where you live so I will assume you are in the United States.
Eleven states (California, Connecticut, Maryland, Massachusetts, Nevada, New York, New Jersey, Indiana, Illinois, Pennsylvania and Vermont) and Washington, D.C. either implicitly or explicitly state that sexual orientation cannot legally prevent gay and lesbians from adopting, according to the Urban Institute report.
Three states have laws denying gays and lesbians the right to adopt or take in foster children.
Though Mississippi allows single gays and lesbians to adopt, it prohibits same-sex couples from adopting. Utah excludes same-sex couples indirectly through a statute barring all unmarried couples from adopting or taking in foster children.
Florida is currently the only state that specifically bans "homosexual" individuals from adopting, although the state does allow them to be foster parents.
In the remaining 36 states, gays and lesbians who want to adopt or take in foster care children are at the mercy of judges and adoption and foster agencies, according to the Evan B. Donaldson Adoption Institute, a non-profit organization that studies adoption and foster care.
These all apply to public/ foster adoptions. Private and international adoptions are easier to obtain.