That is simply not true.
Here is one way a birth computer printout could have been obtained without a Hawaiian birth (and why the original birth certificate it needed):
In 1961, if a person was born in Hawaii but not attended by a physician or midwife, then, up to the first birthday of the child, a “Delayed Certificate” could be filed, which required that “a summary statement of the evidence submitted in support of the acceptance for delayed filing or the alteration [of a file] shall be endorsed on the certificates”, which “evidence shall be kept in a special permanent file.” The statute provided that “the probative value of a ‘delayed’ or ‘altered’ certificate shall be determined by the judicial or administrative body or official before whom the certificate is offered as evidence.” (See Section 57- 9, 18, 19 & 20 of the Territorial Public Health Statistics Act in the 1955 Revised Laws of Hawaii which was in effect in 1961).”
[In other words, this form of vault birth certificate, the Delayed Certificate, required no more than a statement before a government bureaucrat by one of the parents or (the law does not seem to me clear on this) one of Barack Obama’s grandparents. If the latter is true, Ann Dunham did not have to be present for this statement or even in the country.]
Yet in the very first sentence of the document you quote says:
In 1961, if a person was born in Hawaii...
LOL. You birthers are really entertaining.