It's called projection and yeah you can especially if they are more of an empath or water/neptune person. You kind of have to have some astral connection or cords to the person to do so I believe but I am not 100 percent sure. Also if you totally suppress part of your personality or something you really desire or your emotions or anything this can automatically be projected onto other people this is especially true with hang ups in certain things. I myself have had a terrible time with this when interacting with certain individuals for most of his life. It's like sometimes these things try to take over. If they are negative or conflicting to me it causes a negative feeling or reaction or even a fight response.
So yeah this is possible. It doesn't sound negative in your case though.