Bismihi ta'ala
No, it is not permissible in this situation. It would be considered haram, murder, and blood-money must be paid as well.
As a Muslim, you believe in Almighty God and His bestowment of blessings and sustanence. He is the al-Razzaq. One of the means of gaining money and wealth, and one way of increasing money and wealth is having children.
So, if you have money restraints, having a child will leviate that, if you have the right mind-set, and live the Islamic lifestyle, and not be demanding or over-spending.
That is why it should not even cross her mind, to terminate a life, and I would encourage her to read more material on this, in shaa Allah.
And Allah knows best