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Hi, yes they can have a shape. The shape may also correspond to the position on the fretboard and or CAGED shape. These are lightly touched on during the Fretboard Wizzard course. If you have zero music theory, this is a great course to give a good foundation.
But as an example: A common major scale in the key of G starting on the 6th string (thickest string) 3rd fret would be:
6th string: 3 5 (G A)
5th string: 2 3 5 (B C D)
4th string: 2 4 5 (E F#, G 1st octave and starting note of second octave)
3rd string: 2 4 5 (A B C)
2nd string: 3 5 (D E)
1st string: 2 3 (F# G 2nd octave)
If you can visualize this pattern, there is a shape.
Now start on the 5th fret of the 6th string and shift all the positions up 2 frets and you will have the major scale for 2 octaves in the key of A.
There are many other scale shape patterns depending on which string you start on and which chord shape you are outlining.
