No, two straight lines can intersect at only one point and that is their point of intersection.
If the two lines have a common ponts.
To determine if two lines will intersect using their slopes, compare the slopes of the two lines. If the slopes are different, the lines will intersect at one point. If the slopes are the same and the y-intercepts are different, the lines are parallel and will not intersect. If both the slopes and y-intercepts are the same, the lines are coincident and overlap entirely.
skew lines
They are skew lines. Two parallel lines must be in the same plane.
Parallel lines do not intersect.
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.
parralel lines
skew lines
They are skew lines. Two parallel lines must be in the same plane.
Two lines intersect at a point
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.
Parallel lines do not intersect.
Two parallel lines never meet or intersect. Two lines that aren't parallel must have one point somewhere where they intersect.
skew
Two lines cross or intersect at a point.