Perhaps. 

To claim a non-relative (distant relative such as a cousin, or anyone else not related to you) as a dependent, they must live with you all 12 months of the tax year. In addition to being a citizen of the US or a resident of the US, Canada or Mexico:

• you must provide more than 1/2 of the individuals support,
• they must not earn more than $4,050 in 2016 in gross income (social security doesn't count)
• they are not a qualifying child of another taxpayer, and
• they must not file a joint return with another

Dependents are added under the personal info tab.

While a non-relative may be a dependent, they will not qualify you for Head of Household status or EITC.