I would say no. You spawn only one coroutine that calls in the for-loop async. operations of accept(), read() and write() in a sequence.

No other client is able to connect to your server, e.g. connect() on the client side returns, until you enter accept() again.

In order to serve multiple clients at the same time you need to spawn a coroutine that accepts new connections and for each client request (read()/write() operations) you need to spawn a new coroutine.