Do you mean an infinite series of movers and moved, or an infinite series of causes and effects?
In either case, there cannot be, because the infinite loop would need to be complete and consistent - a self-contained system.
This, however, is not logically possible. It would involve finite entities generating an uncountably infinite series of effects - but a finite set of entities (or described logically: rules, or sentences) cannot generate such a cloud of effects using an internally consistent algorithm.
Both, I combined Aquinas’ first 2 into one for the sake of brevity.
Not logical to you, but perhaps it is to God? Maybe the algorithm is God Himself? Would He have to be consistent?