Hi iloveui, welcome to the ArtRage forums.
In short, no. At least, not in the manner you'd expect to be able to.
The reason being, ArtRage is a program designed to mimic the more traditional styles of Art, like Oil/Acrylic painting, Chalk, Watercolors, etc. Since pixel art came about as a result of computers, it really isn't a focus for the program, which means there isn't currently a way to work pixel by pixel. Whether we will see something implemented for this style of work in the future will likely depend mainly on user support for such a feature. But as I said, it's not really they type of art most people expect from this particular program.
That said... One could work pixel by pixel using the Ink Pen tool with the Antiallias edge feature turned off (AR Studio Pro), but it wouldn't be very practical. The program would also still apply a type of blur on the pixel edges.
Nothing is easy to the unwilling.