A substantial impediment to this plan is that the Hyde Amendment forbids using federal funds to pay for an abortion. Let us set aside the funding question in favor of the jurisdiction question.
There is such a thing as the "special maritime and territorial jurisdiction of the US, where the federal government claims jurisdiction which therefore supersedes state jurisdiction, but this refers to the high seas, vessels, rocks with guano... It does also include
(3) Any lands reserved or acquired for the use of the United States,
and under the exclusive or concurrent jurisdiction thereof, or any
place purchased or otherwise acquired by the United States by consent
of the legislature of the State in which the same shall be, for the
erection of a fort, magazine, arsenal, dockyard, or other needful
USCIS buildings are unlikely to qualify, but there could be some such locations – it would have to be exclusive federal jurisdiction, to preclude application of state law (also known as a federal enclave). A military fort is a likely candidate location.
But 18 USC 13 says that an act that is not a federal crime but which
would be punishable if committed or omitted within the jurisdiction of
the State, Territory, Possession, or District in which such place is
situated, by the laws thereof in force at the time of such act or
omission, shall be guilty of a like offense and subject to a like
But this cannot be used to override valid administrative orders, or when there is a relevant federal law.