If a woman is pregnant and don't want the child as well as don't want to abort it, is there any way by which the embryo can be implanted in another woman who needs the child?

Doesn't work like that.
A child is not like an App you simply transfer when you have had enough, it's a HUMAN BEING.
This woman needs to work out what she wants to do, rapidly.
She has a number of choices, termination, adoption or parenting.

You can give it to anyone but only after birth