Yes, I believe that what describe as being a part of your empathic abilities, and I would imagine that most people on this site experience this as well as you!
I can totally relate to what you are describing. First of all I feel being an empath can show up differently for people. Also remember that with such heightened abilities to feel, the results are manifesting in different ways. Just because you are an empath doesn't mean you don't have other abilities. Plus I believe that empaths are very capable of utilizing the energy they experience in ways that seem like psychic abilities. It all ties together. You feel and assess the energy and can FEEL the results of the energetic knowledge you're receiving. Remember that everyone's energy field contains energy they are producing besides energy from other sources. You feel energy people's thoughts create too. What you're experiencing isn't unusual and I also experience it. We perceive energy in more than one way. We don't just feel them, we collect their knowledge. It's complex. We're energy beings having a human being experience
You're not alone, I can so much as look at a picture and know the type of person someone is. I used to feel guilty because I thought I was judging, when after time I realized that what I see or feel is basically what they make the people around them feel. People tell you who they are one way or another.
I definitely have had this my whole life. When I was a teenager (shame on me) I used these abilities to manipulate people and get what I wanted. As I have grown older I have gotten to where on a good day I can all but read minds it seems sometimes. Because of their energy and "the knowing" of intuition I can tell at least what they are thinking or leaning towards thinking. On a side note it is also very disturbing sometimes picking up on people with VERY BAD intentions.