You will not get into any type of trouble if you screenshot your DMs. This is because they don’t have a reason not to. The simple answer is yes, Instagram does let you screenshot and screen record chats.
It can get confusing at times on how to navigate the app. This is due to the many updates the app has faced this past year alone. However, some people are still a bit confused about how to use it properly. Instagram is one of the most popular social media platforms in this day and age.