Can I get addicted to beer?

Yes. Alcoholics anonymous works if you work it. Consider attending six meetings before you decide whether it might work for you, or attending six meetings of al-anon if you are a friend or family member of an alcoholic.
Absolutely. Beer can be just as addictive as the hard stuff, many alcoholics who have lost everything were just beer drinkers. Often alcoholics will try changing their beverages in hopes of stopping the problem, they may go from beer to liquor or vis-versa in attempts to control the problem, but this does not work. Alcohol is alcohol period.