If you read the article it is limited to veterans and their immediate families. Hmm, I might be wrong. I need some clarification:
"Under a
new interim final rule, pregnant veterans and VA beneficiaries will be able to get abortions if their life or health would be in danger if the pregnancy went to term. Patients whose pregnancies were the result of rape or incest will also be eligible for abortions."
After reading that again it does appear to be limited to veterans and their beneficiaries.
EDIT: I followed the link in the quote and it does just apply to veterans and their beneficiaries. The run of the mill citizen is still SOL.