Am I wrong for being annoyed?

I recently took a trip to Cuba. My only plan was to try to meet up with a few relatives who live there and to do some photography. I was originally going to go by myself but a friend and fellow photographer decided he wanted to go as well. In the past I have walked around Chicago with this friend and I've noticed that every time I took a photograph, he would come behind me and take a photo of the same subject from the same angle. It annoyed me slightly but I just pushed it aside and kept shooting. At times I would take a picture of some random object just to see if he would follow along and on every single occasion he would take the same photo. Fast forward to Cuba and it was the same thing. Every single time I photographed something or someone, he was right there waiting for me to move so he could photograph the same thing. I finally asked him if he'd like to split up for a little while and go do our own things in an attempt to allow each of us to photograph something different but he was unwilling to do that. To make an already long story shorter, I didn't take a whole lot of pictures while I was there. I shoot film with a Gw690iii so I only get 8 shots per roll. I'm very selective of what I do shoot. He shoots digital and pretty much was able to shoot an unlimited amount of pictures. At one point when I pointed out that we should try to photograph different things, his response was that we just have the same eye and that since I was shooting film, my photographs would look different. I'm still in the process of developing my film while he has processed a number of his photos already. I've already noticed a trend in that every photo I've scanned, he has already shared a photo of the same subject with our group of friends. A large part of me feels like I'm overreacting by being annoyed by this as well as being childish but it really does annoy me. Has anyone else experienced a situation like this? What did you do or say to stop it? Should I just get over it and stop being annoyed? I've never experienced anything like this with any of the other photographers I've shot with.

Friend? Allow me to suggest 'leech'. I find it difficult to believe that photography is the only thing he is leeching from you. Or anyone else for that matter.

Every wedding photographer and events photographer has this done to them at almost every wedding and event. If you shoot at places where many others shoot, you may as well get used to it.

Just be glad he was not using a Smartphone and jumping in front of you every time you tried to take a photo.

You have a stalker!

If this person is not fun to go out shooting with, don’t go out with him anymore...or limit it to local things.

Maintaining the fun aspect for me is key. Anyone or anything that takes away from that...I move on/change as required.

I actually came to the same conclusion after my original post. I sat back and thought about the past couple of years and realized that it wasn't just the copying of photographs but any time I've bought any type of gear, he has gone out and made the same purchase without any research only to realize he had purchased something he didn't want. I have no clue if he has claimed any of my work as his own, but I have witnessed him being dishonest to others. I'm going to cut ties all together and not worry about it anymore.

There is a clear element of admiration for you in your friends behavior - which you could take as a compliment. Not that I think that this changes the annoyance of his behavior nor that you should not go through with your decision.