No. 
Palestinian citizens/passport/travel document holders are NOT eligible for a Visa to Turkey

You will have to apply at the local Turkish Embassy, please visit this website http://www.konsolosluk.gov.tr for the full list of the Turkish Embassies and Consulates, you may also call the Turkey Government Call Center:


U.S.A & Canada: +1 888 566 7656

United Kingdom:  +44 203 608 8090

Netherlands: +31 1076 60007

Austria: +43 720 115890

Germany: +49 3030 80 7090

France:  +33 180 146 335


For other countries:  +90 312 292 2929