Yes, it is possible to draw 7 lines which are perpendicular to each other. Here's one way to do it:

Draw a horizontal line.
Draw a vertical line intersecting the horizontal line at its midpoint, creating a right angle.
Draw another horizontal line above the first line, intersecting the vertical line at its midpoint and creating another right angle.
Draw another vertical line intersecting the second horizontal line at its midpoint and creating a right angle.
Draw another horizontal line above the second horizontal line, intersecting the third vertical line at its midpoint and creating a right angle.
Draw another vertical line intersecting the fourth horizontal line at its midpoint and creating a right angle.
Draw another horizontal line above the fourth horizontal line, intersecting the fifth vertical line at its midpoint and creating a right angle.
Now, you should have 7 lines which are perpendicular to each other, forming a grid pattern.
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