No, because the women would be at an unfair physical disadvantage in most sports.
I watched the speed rock climbing (sorry, don’t know the official name) during the Olympics. The fastest woman was amazing, she flew up the wall in about 6.75 seconds, and beat her nearest competitor by over a second to win the gold. The fastest man was nearly 2 seconds faster again with his competitors not far behind. If the women competed with the men, the female gold medal winner wouldn’t even be on the podium.
A panda at Singapore zoo.