Good question! The quick answer is yes, she can have babies in future (even as soon as a week after being infected). According to the CDC:
If a woman who is not pregnant is bitten by a mosquito and infected with Zika virus, will her future pregnancies be at risk?
We do not know the risk to the baby if a woman is infected with Zika virus while she is pregnant. However, Zika virus infection does not pose a risk of birth defects for future pregnancies. Zika virus usually remains in the blood of an infected person for only a few days to a week. The virus will not cause infections in a baby that is conceived after the virus is cleared from the blood.
http://www.cdc.gov/zika/pregnancy/question-answers.html
