- this question is not asking for a "justification" of those times, described in the Bible, when God struck someone dead. Life is His to take.
- the question is also not asking strictly whether Jesus had the capacity to sin. The answer should not hinge on whether Jesus was God (He was, assume this), or whether Jesus was one or two persons (He was one divine Person, assume this).
The question is asking if God can sin, with attention to, for example, how that might be reconciled with his omnipotence and benevolence. I expect that there are some theological constructs already in place to deal with this question or others like it. If there is some well-established theological difference between "can sin" and "has the power to sin" or "has the capacity to sin", then this should be clarified.
Can God (three Persons, one Being) sin?