I don't see why not, it's not like the Egyptian scale was made up the same day as the natural minor. The concept of consonance and dissonance is all a matter of opinion so I say go for it.
well it wouldnt really be a scale it would just be a note series but ya, i usually dont go to the extent of making up scales but ill use special versions like C harmonic dorian (basically a g harmonic minor scale starting on c) before u start making them up u should probably learn a good variety of scales though
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Is this possible?

I suppose it's possible to make up something you've never heard of before... but chances are it already has a name...

i've personally 'invented' dozens of music concepts that I later discovered already had a name... 12 bar blues, the pentatonic minor scale.. you name it