You mean each women all producing parts of the baby one then one women/machine putting all the parts together?
I'm too bad of a writer to be scared of giving my ideas away, but I'd explore a pupae stage, where (layman disclaimer, if it isn't abundantly clear from my incoming butchering of the science) the butterfly is basically melted down into a goop with no "brain part" or "feet part" of the goop existing until reformed, yet retain their memories. If you divided that goop up and imagined there was a gestation time reduction, before combining it for the final stage of formation, you'd have some "plausible" (loose definition here) venue for it.
In the future, because of bad things we did to the atmosphere and stuff, miscarriages are the common ending of a pregnancy, instead of being the exception. One evil company finds a way to accelerate the process by using 10 women, lowering the chances of miscarriage simply by reducing the time in womb.
I thought, something like a medication helping the women develop the baby in 30 days, but seriously damages the host in a couple of days, so the fetus gets transferred from host to host. Some die, but the evil rich don't care. Your idea could also work though.
I realize that this is totally the wrong corner of the internet to post this but I guess today I'll just go with it.