Answer
Yes, a conductor can be charged through physical contact and induction.
Work Step by Step
Yes, a conductor can "conduct" a charge because the atoms that the conductors are made from have overlapping valance shells that allow electrons to move freely between atoms.
A conductor can be charged through physical contact, in which a charged object makes physical contact with a conductor and deposits a charge on the previously neutral conductor. After the contact, the conductor is left with an excess of one charged and is therefore "charged."
The other way for conductors to become charged is through induction. When another charged object comes in the vicinity of a neutral conductor, the conductor will become polarized in that the surface close to the other charged object will build up the opposite charge and whatever surface area of the conductor is farthest from the charged object will build up a similar charge to that of the charged object.