Babies begin to crawl anywhere between the 6th and the 12th month, and hence, yes, your baby could possibly be crawling by the time they are 32 weeks old. However, it should be noted that all babies develop at different paces and there may be absolutely nothing wrong with your baby if they aren't crawling already. As long as your baby is active and is taking interest in their surroundings, there's nothing to worry about. Some babies, in fact, do not even crawl and directly take the standing position or strat top cruise. If you are still unsure, the best will be to check in with your baby's pediatrician. Your doctor would assess your baby's development curve over the weeks and will let you know if there's anything to be alarmed about.