An Azure service that provides an event-driven serverless compute platform.
@Kman The Service Bus Trigger itself should be able to scale out to multiple workers as required without durable functions. This would be much simpler to have unless Durable Functions is required for other reasons.
To the actual question of whether it is possible, yes, that should work. You just don't have to await the returned Task.
But do note that internally this is like how a queue trigger works without the retry benefits, unless if you are using the CallActivityWithRetryAsync API which would not make it a fire-and-forget option. If this isn't a concern, then nothing to worry about. If so, you could consider is triggering a sub-orchestration instead which could implement retries as required.
Also, this approach would mean the original message would have to be completed irrespective of the outcome since the client function wouldn't wait. But you can defer the message instead (as explain in this SO post) and retrieve at the end if required.