No. An inmate's call list, visitation list, and trust fund account are all private and that information is not available to you regardless of your relationship to them.
That is the factual answer. Here is the honest one.
The fact that you are asking this question means something is already telling you that something is off. Trust that instinct, because it is rarely wrong. Inmates have access to more people than most of their partners on the outside realize, through letters, pen pals, phone calls, and visits, and some of them use that access in ways that are not faithful to the people holding things together on the outside.
Here is what I know from experience on the inside. The dynamic you are in right now, where you are on the outside wondering who he is talking to and who is visiting while you are carrying the weight of the relationship alone, is one of the most common and most painful situations families find themselves in. And the inmates who behave this way almost always know exactly what they are doing.
You cannot control what he does from inside. What you can control is what you do out here. Setting clear boundaries, deciding what you are and are not willing to accept, and sticking to those boundaries is not just about protecting yourself emotionally. It is about maintaining the self-respect that makes you someone worth coming home to, if that is even still what you want.
An inmate who genuinely values what you represent will make sure you have no reason to ask this question. That is worth sitting with.