No, or at least, not necessarily. Physically, I like females smaller than me and males bigger than me, and some other odd quirks that are definitely different between the sexes. Redheads and blondes drive me wild, for example, if they're women, but turn me off in men. Give me black hair and dark eyes that frame a kissable male mouth...mm.
Mentally/personality is about the same for desire though.
My tastes are usually different. I like muscley men but not muscley women. I like androgynous men but not androgynous women. I like big bums on women but less so men. However, personality is really really important and trumps body type for me.
I second what @imadethis said.
My 'type' and even sexual preferences present differently between genders. To use your example, I find short redheaded women attractive, but generally am actually turned off by redheaded men in general.
The body types I look for in porn are not the same for men and women. And even when it's femboy content, it's something else again.
IRL, it's a different story. It's really certain characteristics that turn me on. Beautiful eyes or nerdy glasses, intelligent looks, a naughty smile, a nice ass, a few well-worn tattoos or piercings.
I don't know if it's enough to define a type, but this is my type whatever the gender