Yes, it isn't true as a fact, but it is true generally. I liked how Bing Chat answered the question.
According to the data from the web search results, women are generally shorter than men in most countries and regions of the world. The average height of women is usually lower than the average height of men by several centimeters or inches. However, there are some exceptions where women are taller than men, such as in some African countries like Lesotho and Eritrea1
The difference in height between men and women is partly due to genetics, hormones, nutrition, and environmental factors. Some studies suggest that testosterone, a hormone that is more abundant in men, promotes bone growth and muscle mass, which may contribute to height2 On the other hand, estrogen, a hormone that is more prevalent in women, may limit the growth of long bones and cause earlier closure of growth plates3
The height gap between men and women has also changed over time, as both sexes have experienced different rates of growth due to improved living standards, health care, and nutrition. Some historical evidence indicates that women were closer to men in height in the past, but the gap widened during the Industrial Revolution and the 20th century4 However, some recent studies suggest that the gap may be narrowing again in some regions, such as Europe and North America5
Therefore, based on the available information, it is fair to say that women are shorter than men on average, but there are variations across countries and over time.