Yes, you can apply here:

The Turkey e- visa for citizens from Yemen will be valid for a total period of 180 days, stay int Turkey cannot exceed 30 days.

Visa embassy cost: $60 USD, Visa service fee: $20 USD, Total visa cost: $80.

Number of Entries into Turkey: Single (One)

Citizens from Yemen must also must meet all the requirements listed below in order to obtain an e-Visa. 

  1. I have a passport valid for at least 6 months from the date I intend to enter Turkey.
  2. I am traveling for the purposes of tourism or business.
  3. I can prove that I hold a return ticket, hotel reservation and at least 50 $ per each day of my stay.
  4. I hold a valid supporting document (Schengen visa or a valid visa from any of the OECD member countries; or a valid residence permit of a Schengen or OECD country). e-Visas are not accepted as a supporting document.
  5. I have a round-trip ticket with Turkish Airlines or Pegasus Airlines.