There are lots of ways to get in contact with people in the profession you are considering. Some great ways to get started is to network with such folks--this could be attending meetups, informal groups. Use linkedin to find groups and even individuals that you can reach out to. Cold out-reach is surprisingly effective if you express interest in the career fields. I suggest you request for an informational interview first over the phone--no longer than 20 mins. It is a great way to start a conversation, get to know them, make connections. Once you have a couple of people in your network, developed the relationship, you can definitely ask to shadow them.
Hope this helps.