You can invent your own protocol for your socket.  If all you need is a filename and data, DataOutputStream.writeUTF is easiest:
BufferedOutputStream out = new BufferedOutputStream(socket.getOutputStream());
try (DataOutputStream d = new DataOutputStream(out)) {
    d.writeUTF(fileName);
    Files.copy(file.toPath(), d);
}
The peer must use the same protocol, of course:
BufferedInputStream in = new BufferedInputStream(socket.getInputStream());
try (DataInputStream d = new DataInputStream(in)) {
    String fileName = d.readUTF();
    Files.copy(d, Paths.get(fileName));
}