I would like to chat with another user, is this possible? I tried searching help and the FAQs and looked for a link on the profiles page and came up empty, but I have no doubt that I could have easily missed it.
Yes, Stack Exchange has a chat system.
You can find the general room for Home Improvement at https://chat.stackexchange.com/rooms/111/home-improvement. There are also post-specific rooms created from time to time under certain circumstances (like when there's a lot of back-and-forth between two users) but none are active at the moment.
To chat with another user, address them in a comment and ask them to join you in the chat room linked above. Remember that the site has a global audience, so they might not be active at the same time you are and unable to respond immediately. Remember also that they might not want to chat with you; respect their wishes and don't hound them.