Unfortunately people not fueling up tomorrow will probably have to do so today or Saturday or whenever, in order to get wherever they have to get to (like me having a long drive to get to and from work tomorrow), thus not amounting to an overall reduction in gas sales. Just a shift in which day they fill up. It may send a philosophical message to have lower gas sales on a particular day but it won't likely affect the bottom line because sales will likely be higher the day before and day after.
In the big scheme of things there may be more impact to boycotting the 1 or 2 oil companies that have the most sales/make the most profit - boycotting them till their lower their prices substantially. Then when whoever is organizing this strategy gives the word (i.e., when the price is right), start buying from them and only them (wherever feasible). The other companies will then lower their prices to match.
It's not quite as simple as this short para, but you get the drift!
JJ