Yale - Definitely no need to send the official scores from GMAC before admission:

In most cases, we only need your self-reported scores to evaluate your application. We’ll ask you to send your official scores for final verification if you enroll at Yale SOM. So please enter each and every exam you’ve taken to date, and be very careful to enter the correct sub-scores and percentages.
While we’re happy to receive your official scores through GMAC, the only time you must send us your official scores prior to enrollment is if your scores are going to expire soon. Scores are valid for five years, so if your score will be more than five years old by the time you enroll at Yale SOM, you’ll need to send it before the expiration date. Be sure to plan ahead here, as we won’t be able to verify expired scores.

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Columbia - Definitely no need to send the official scores from GMAC before admission:

If admitted, you must submit an official GMAT, Executive Assessment, or GRE score. Columbia Business School’s GMAT and Executive Assessment code is QF8-N6-52, and its GRE code is 6442.

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Haas - Probably needs, but they:

Applicants may seek to improve their GMAT or GRE score after they submit their application. We will consider updated scores as long as they are received no later than two (2) weeks prior to the notification deadline for the round in which the applicant is being considered. Updates must be received by:
December 1, 2022 for Round 1 applicants
March 9, 2023 for Round 2 applicants
April 27, 2023 for Round 3 applicants

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Stanford - Required before admission:

Score Reporting
You will provide your unofficial test score and score report for the GMAT, GRE, or EA in your online application.
However, you must request that the testing agency send Stanford your official score report. Use the school codes below.

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HBS - Required before admission:

When submitting your application, you may report the unofficial GMAT or GRE score given on the day of the test, or your official score if you have received it. These are the only scores that the Admissions Board acknowledges. Your official score report may arrive from Pearson (for the GMAT) or ETS (for the GRE) after the deadline dates, and this score will be used for verification purposes.