I would disagree as this section seems clear they are refuting to anyone in the US.
“The Amendment, in clear words and in manifest intent, includes the children born, within the territory of the United States, of all other persons, of whatever race or color, domiciled within the United States. Every citizen or subject of another country, while domiciled here, is within the allegiance and the protection, and consequently subject to the jurisdiction, of the United States.”
Though, we don’t have to rely on my interpretation there either, the court has upheld this in Plyler v. Doe.
“The illegal aliens who are plaintiffs in these cases challenging the statute may claim the benefit of the Equal Protection Clause, which provides that no State shall "deny to any person within its jurisdiction the equal protection of the laws." Whatever his status under the immigration laws, an alien is a "person" in any ordinary sense of that term. This Court's prior cases recognizing that illegal aliens are "persons" protected by the Due Process Clauses of the Fifth and Fourteenth Amendments, which Clauses do not include the phrase "within its jurisdiction," cannot be distinguished on the asserted ground that persons who have entered the country illegally are not "within the jurisdiction" of a State even if they are present within its boundaries and subject to its laws. Nor do the logic and history of the Fourteenth Amendment support such a construction. Instead, use of the phrase "within its jurisdiction" confirms the understanding that the Fourteenth Amendment's protection extends to anyone, citizen or stranger, who is subject to the laws of a State, and reaches into every corner of a State's territory.”
To argue an illegal immigrant is not under our jurisdiction when they are here would mean that we could not hold them accountable to our laws. We would not be able to arrest or detain them if we lacked jurisdiction over them (like a foreign diplomat)