Java: Are concurrent reads and writes possible on a blocking SocketChannel via Object(In|Out)putStreams?

socketChannel = SocketChannel.open(destNode);
objectOutputStream = new ObjectOutputStream(Channels.newOutputStream(socketChannel));
objectInputStream = new ObjectInputStream(Channels.newInputStream(socketChannel));

Thread replyThread = new Thread("SendRunnable-ReplyThread") {
	@Override
	public void run() {
		try {
			byte reply = objectInputStream.readByte();//(A)
			//..process reply
		} catch (Throwable e) {
			logger.warn("Problem reading receive reply.", e);
		}
	}
};
replyThread.start();

objectOutputStream.writeObject(someObject);//(B)
//..more writing

Socket socket = new Socket();
socket.connect(destNode);
final OutputStream outputStream = socket.getOutputStream();
objectOutputStream = new ObjectOutputStream(outputStream);
objectInputStream = new ObjectInputStream(socket.getInputStream());

public InputStream getInputStream() throws IOException {
    return Channels.newInputStream(new ReadableByteChannel() {
		public int read(ByteBuffer dst) throws IOException {
			return socketChannel.read(dst);
		}
		public void close() throws IOException {
			socketChannel.close();
		}
		public boolean isOpen() {
			return socketChannel.isOpen();
		}
	});
}

public OutputStream getOutputStream() throws IOException {
    return Channels.newOutputStream(socketChannel);
}