The American Heritage® Dictionary of the English Language, 4th Edition
verb-intransitive. To collide or strike: Sound waves impinge on the eardrum.
verb-intransitive. To encroach; trespass: Do not impinge on my privacy.
v. To encroach upon: "One of a democratic government's continuing challenges is finding a way to protect . . . secrets without impinging the liberties that democracy exists to protect” ( Christian Science Monitor).