Is it possible to make sugar cookies without butter?
I can't have butter very often for various reasons and so most things I make I have to make a substitution. If you have coconut oil, that's fine though you may need to put it in the fridge before you use it, depending on how hard it is at room temperature. If all you have is oil just use 20% less of it and add that amount of liquid (water, milk...) as that's  the approximate water content of butter. They will not be the same as butter cookies and they will brown faster have a somewhat different texture, but it will work.