encroach on

encroach (up)on someone or something

to infringe or trespass on someone or something; to move into the space belonging to someone or something. (Upon is formal and less commonly used than on.) I did not mean to encroach upon your property. I need lots of space. Don't encroach on me.
See also: on

encroach on

or encroach upon
v.
To advance or extend toward or into something beyond its proper or former limits: The weeds in my neighbor's yard are encroaching on my lawn. At the edge of the village, the desert encroaches upon grassland.
See also: on
References in classic literature ?
After the foregoing discussion, which ought to have been much amplified, we may, I think, assume that the modified descendants of any one species will succeed by so much the better as they become more diversified in structure, and are thus enabled to encroach on places occupied by other beings.
The park district has voted to reclaim public land from 22 of 43 Texas Avenuetract homeowners whose back yards encroach on the public Simi Hills Golf Course and Neighborhood Park.