The phrase "crotch without" is grammatically correct and can be used in written English.
It is typically used to describe the absence of something, specifically in the area near one's crotch. Example: She was wearing a dress with a crotch without any visible seams, giving it a sleek and seamless appearance.
To shape the new hand, the doctor "needed a little extra skin, which he took from my crotch -- without asking".
It was Kubrick's take on Alex's "height of fashion" clothes rather than Burgess's (black tights over a jelly mould at the crotch, "waisty jacket without lapels … off-white cravats which looked like whipped-up kartoffel") that has been aped by everyone from football hooligans to bands from the Adicts to Blur.
On his head he wore a sky-blue satin scarf, and he was dressed in a stately sky-blue satin coat with a silken girdle, a pair of wide black trousers without crotch and satin boots with thin soles".
Part of the film was animated in England, and one of the film's British animators drew a sequence in which Jessica Rabbit's crotch was exposed without Disney's knowledge.
One note: Some Dutch men actually prefer step-through bikes (what Americans have historically called a woman's bike) for city riding because they are easier to mount and dismount gracefully (that is, without ripping the crotch seams of your nice new pants).
"How long have you two been together?" she asked, without stopping her crotch rub.
He is still without pants, holding his crotch; he begins to open his hands, as if to expose himself.
Unfortunately, the idea is better than the movie: the adventures on and off the ice, and the endless flow of innuendo (lots of crotch jokes and winking allusions to homosexuality), signify humor without actually being funny.
After his rape of Number 18, the pimp leaves the situation without adverse effect, but Number 18 is left bleeding from her crotch and mouth.
The rub is when she looks up from Seth Rogen's crotch and glances embarrassedly at Jane's cameras, realizing they're capturing the moment without the sheen of post-production.
