Short answer, yes. Long answer:
There are 6 keplerian orbital elements (but note that these parameters are not the only way to describe an orbit). Semi-major axis, eccentricity, inclination, argument of periapsis, right ascension, and true anomaly. Here is a surface level explanation of each:
Semi-major axis describes the "size" of the orbit. In the case of circular orbits (or orbits with small eccentricities), the semi-major axis describes how large the orbit is (distance from the central body, in a lot of cases its Earth).
Eccentricity describes the shape of the orbit. e = 0 means the orbit is circular. e = 1 means the orbit is parabolic (it has just enough energy to reach an infinite distance away from Earth), and e > 1 means its hyperbolic (has excess velocity on top of escape velocity).
Inclination, argument of periapsis, and right ascension together describe the orientation of the orbital plane with respect to the Earth equatorial inertial frame (if we are assuming Earth orbits). They do so by a 3-1-3 euler angle sequence, where each angle corresponds to one of those rotations. I can elaborate more if you'd like, but that seems out of the scope of your question.
And finally the true anomaly describes the angle between the orbit periapsis and the current position of the orbiting body, which is what you're looking for.
In case you're wondering why its called "true" anomaly, its because there also exists eccentric and mean anomalies, which have different geometrical representations of where an object is in its orbit.
This wikipedia article has a good visual on the elements: