you betcha
A bimini can be a pretty good airfoil. The higher/larger it is, the more likely it's a factor. This will be especially true on lighter boats in stronger winds. Weather helm happens when heel causes the center of effort to be off-column with the center of drag. For example, on starboard tack, the center of effort up in the sails shifts to port while the center of drag down in the keel shifts to starboard. These combined forces will tend to spin the boat to the right. Now consider the fact that the bimini is located aft of the beam. Any lift generated by the bimini on a heeled boat on starboard tack will tend to push the stern to port, thus contributing to boat's rightward turning. Although the bimini is not creating the weather helm, it is aggravating it. This aggravation would be less pronounced on center cockpit designs than with aft cockpits. So the question becomes whether or not your bimini is creating lift. Does the fabric tend to "arch" in stronger winds? Probably so. If this is the case, then the bimini is aggravating your weather helm. My guess is that if your bimini was designed to allow stand-up headroom, that the effect on a 26' aft-cockpit boat would be pronounced in winds exceeding 15 knots.