Yes, there are a lot of parachute-silk wedding dresses from the WWII era. In some cases, particularly in America, the dress was made from the silk of the groom's parachute; however, the British government released a large quantity of surplus parachutes or the material used to make them in 1945 and allowed it to be sold "off-coupon" (exempt from fabric rationing, which had a huge impact on the consumption of clothing during and after the war), which resulted in a lot of clothes made from parachutes without any emotional connection to the wearer in the UK. Here is a particularly luxurious example in the Smithsonian Institute, but I suspect most local historical societies have at least one.

White has been the color of an ideal wedding dress for a long time (see my previous answer on that subject in the link), but it's only in the early twentieth century that a) a bright white (rather than an off-white or ivory or anything like that) became the usual color, and b) women of every social class began to expect to be married in white. So it was very natural that parachutes, made of yards and yards of white silk or nylon, would be repurposed in this way once they were no longer useful.