Contact is the act of touching or communicating with someone or something else. The question increasingly isn't whether there is other life in the universe, but how on earth we will ever make contact with it.
"To make contact" (the noun) means to establish some form of communication, be it physical, verbal, or some other kind. To contact (the verb) means to establish that communication. If you're looking to contact Madonna, good luck. She's got people whose only job it is to prevent folks like you from making contact with her. Batteries have two contacts, one positive and one negative. They are where the battery makes contact with the thing to which it provides power.