Can I sync my iPhone via Wi-Fi?

I just finished downloading a bunch of songs on ITunes and now I wanna transfer them into my IPhone, the problem is I don't have the cable to connect it to transfer the music, can I sink it via Wi-Fi? I've never connected the IPhone to the computer. In case I can't, is there any other way to transfer the music?

There's an option for that, but you have to connect your iPhone to your computer at least once and enable Wi-Fi sync.
Now, this only works on a Wi-Fi connection. Both your computer and iPhone must be on the same Wi-Fi. You can't have your computer connected through Ethernet and sync that way.