You can use any style of drawing you wish, cubism and impressionism being fine for some subjects.
However mechanical drawings (for production) are less prone to missinterpretation if they are drawn to recognised standards.
It also depends on the purpose of the drawing, if you are trying to show a concept to non-technical people a sketch is often the best.
Constable did a lovely Third angle projection of 'Flatford Mill', but it never sold
Del
__________________
health warning: These posts may contain traces of nut.
To me i am not deep in mechanical field but since we are using Autocad, Microstation and 3D Max plus enhancement of images in photo shop in our hi-rise bldg. drawing plans and perspective viewsseem so click in the construction industry without worrying lines projection.
__________________
If there is a will... there is a way... No pain / No gain.
First and third angle drawings are fairly easy to understand. Thus, a machinist trained in third angle will have little trouble understanding the part you want. Likewise, a machinist trained in first angle will easily understand a drawing in first angle. Third angle is easily the better system since it relates exactly to what you can see with a solid model.
You can make perfectly good drawings in second and fourth angle perspectives. Auxilliary views are hard to make, but.. The big problem will be that almost everyone else is quite likely to misunderstand the drawing since what you see depends on which view (top or front or side) you're looking at.
If you have a great interest, go back to Monge's original work on perspective.
But, truly, why would you want to use more than one perspective? Ever?
__________________
"Well, I've wrestled with reality for 35 years, Doctor, and I'm happy to state I finally won out over it." Elwood P. Dowd