While this could possibly result in a simple yes or no answer I\'ll go for it anyway
Consider the following example:
HTML
The order doesn't matter in loading speed, it only matters when the styles cascade down, so you can't move them around willy-nilly. Using IDs may be faster than using classes, but you can only have one ID on a page. The best way to speed it up would be searching for things that have a class but are only used once, and changing it to an ID.