Not usually. It is not uncommon to develop swelling in the hand after a carpal tunnel release. Sometimes swelling can affect the tendons and tendon sheath. If this occurs, triggering may develope. It may also be unrelated. Carpal tunnel syndrome (cts) and trigger finger have overlapping patient demographics. Oral/injectable steroids and therapy should relieve your symptoms.
No. But they may both be due to same underlying cause -- tendon swelling. Approximately 46% of patients with carpal tunnel also have a trigger finger.
No. Patients often have both triggers and carpal tunnel syndrome because they are caused by swelling.