Q: Can I restore iPhone 4 and start without any connection?

Morning Gbp5448,

Thanks for using Apple Support Communities.

Using iTunes to restore iOS devices is part of standard isolation troubleshooting.

For more information on this, take a look at this article:

iTunes: Restoring iOS software

http://support.apple.com/kb/ht1414

Restoring your iOS device

1. Connect your device to your computer.

Best of luck,

Mario