If two different lines intersect, they will always intersect at one point.
If the two lines have a common ponts.
Two lines that are not coplaner exist on two different planes. These lines do not and will not intersect by simple definition. It is however, when speaking of three or more lines, when the possibility that two or more of them may intersect.
Two lines intersect at a point
They are skew lines. Two parallel lines must be in the same plane.
Parallel lines do not intersect.
Two lines cross or intersect at a point.
Two lines that do not intersect on the same plane are Parallel lines.
It depends on how you define "ways" and how you define "lines" and how you define "intersect" and what kind of geometry you're talking about, but in Euclidean geometry, lines either never intersect, or they intersect at a single point, or they can intersect at all points within the lines.