No. The English word 'gender' only refers to a distinction between masculine and feminine in grammar, and male and female in the real world.
Sometimes academics, film critics, art experts and so on do use the word 'genre' to refer to a particular category of art form. It is pronounced as in French : one elongated syllable, with a 'zh' sound at the beginning like the 's' in 'treasure', a nasal 'ahn' sound in the middle and a very light 'r' at the end.
The word 'genre' is not used in non-art contexts, however. It would seem rather odd and pretentious if you casually said to a friend 'What genre of films do you like?'. A more appropriate everyday word would be simply 'type' 'kind' or 'sort'.