Physical contact is mainly a human illusion anyway.
Suppose your hand pushes a pint of beer across a table. Both hand and glass are made up of atoms/ions/molecules, all of which are nuclei surrounded by electron clouds. These electrons in the glass and the hand repel each other. In reality hand and glass never really touch each other. Actual 'contact' would require the Coulombic potential energy to reach $+\infty$.
It just feels that way because we experience the net force between the objects, mediated through the real electronic repulsion between hand and pint glass.