How to install apple safari without using wine?

There is no native Safari for Linux, so your choices are either use the Windows version and run it with Wine or in a VirtualBox, or maybe run it with OSX in a VirtualBox.

Yet another option would be to use another WebKit-based browser such as Chromium or Konqueror as a "close enough" approximation of Safari - they do run natively on Linux but, well, they're not Safari :)

There is no Debian package or any other linux package available for Ubuntu. Your only chance to use Safari on Ubuntu is use WINE.

You can install it via PlayOnLinux too