Is it possible to install Safari on Ubuntu 14.04?

Safari uses webkit as web browser engine. You can use epiphany-browser which also uses webkit engine for debugging and checking the compatibility:

sudo apt install epiphany-browser

Install wine

$ sudo add-apt-repository ppa:ubuntu-wine/ppa
$ sudo apt-get update
$ sudo apt-get install -y wine1.7

then load wine through start menu

click - Install an app

01

Select - Select Safari

02

Click - OK