Can a US citizen petition for her half sister?

They have same father but not same mother.

Answer:
Yes.

How Do I Bring a Sibling to Live in the United States?

Definition of a Sibling
A sibling is a brother, sister, stepbrother, stepsister, or adopted brother or sister. For the necessary sibling relationship to exist, each person must have been a child of at least one of the same parents. The siblings need not share the same biological parents as long as both became “children” at the appropriate time (before the age of 16 in cases of adoption, and before the age of 18 for stepchildren).

Source of the above and further reading is in the first link below in sources

The sibling will be in the Family-Sponsored Preferences 4th Category and there is several years wait time for a visa to become available. You can check the approx. wait time at http://travel.state.gov/visa/frvi/bullet...
Do you mean to sponsor her for a visa? Yes you can, if you meet the requirements to sponsor someone.
call immigration at 800 3755283 and asked them
What country is your sister coming from?
Yes a half sister counts just the same as a sister as long as you can prove you have the same father. The wait for a visa is just over 22 years.

Here's the monthly visa bulletin. You're 1/2 sister is priority 4. Rightr now as priority 4 from the Philippines they are processing applications submitted in September of 1984.

http://travel.state.gov/visa/frvi/bullet...

The immigration information post by website user , MyTend.com not guarantee correctness

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