Can a wisdom tooth coming though cause all of you gums to be red and swollen?

It is possible: When wisdom teeth cut through the tissue, the area get inflamed all around it, depending on your body's reaction it can extend to most of the teeth on the same side especially if it gets infected. To make sure it is not something else it is best to consult with a dentist.

Unlikely is a wisdom: tooth. It is a gingivitis, the most common cause of the bleeding and swollen gums. It can be a sign that you already have a gum disease. The bacteria and other particles, constantly form a sticky, colorless toxic “plaque” on teeth causing the gums to become inflamed and to easily bleed. This is a serious problem, which should be checked by a dentist.

Unlikely: Unlikely to cause ALL of gums to be red/swollen. Likely a local thing. see oral surgeon for redness swelling and to discuss wisdom teeth.