It is strictly prohibited (haram) for a woman to remarry another man on the same day that she is divorced by her husband and remarry anytime during her waiting period. She must wait until it’s over because it then becomes permissible.

One cannot merely skip one’s ‘idda because a woman is automatically in her ‘idda after she is divorced. It is a state that she has entered into, and this state does not expire until three periods of purity between menses (Shafi’i) have elapsed. It is up to her to follow the rules therein.

Please see these links for more information:
How Long Must a Woman Wait Before She Remarries?
What Can a Woman Do During Her Waiting Period?
Basic Rulings and Length of the Waiting Period (`idda)

[Ustadha] Shazia Ahmad
Checked and Approved by Shaykh Faraz Rabbani

Ustadha Shazia Ahmad lived in Damascus, Syria, for two years where she studied aqida, fiqh, tajweed, tafsir, and Arabic. She then attended the University of Texas at Austin, where she completed her Masters in Arabic. Afterward, she moved to Amman, Jordan where she studied fiqh, Arabic, and other sciences. She later moved back to Mississauga, Canada, where she lives with her family.