No, Turkmen are not Turkish, but they are historically related..

The Turkmen are a Turkic people located primarily in the Central Asian states of Turkmenistan, Afghanistan, northern Iraq and in northeastern Iran. They speak the Turkmen language, which is different from Turkish but in the same language group.

Oskar Hanser has written:

'Turkmen manual' -- subject(s): Grammar, Turkmen language

G. K Dulling has written:

'An introduction to the Turkmen language' -- subject(s): Turkoman language

Turkmen Shepherd is more known as a Turkmen Alabai or as Russians call it Sredneasiatskaia Ovcharka

Aysim Turkmen goes by Aysimcik.