Not exactly, what you showed me only increases the quantity of USB ports you have. What you need is a cable router or switch that will increase the number of cable ports (I mean the plug that looks like a telephone plug, hope you understand, english is not my first language and this tech things usally are refered to in a lot of different ways)
Found a picture so you can have an idea and looked around a bit and found out that they are called switch or routers.
Here's the
pictureFound a lot browsing around. The simplest one should work for you and they come with less outlets, the one I have has 5 and it's enough to hook up 2 computers.
Hope this helps
Cheers,
Ceci