You -may- need a wrench to remove the original filter. If you install the replacement properly (oil rubber sealing gasket, turn 2/3 of a turn after gasket touches metal) you don't need a wrench. I've never used a wrench after getting off the original filter on any of my vehicles, and the filter has never leaked.
Try removing the filter before draining the oil. If you can't get it off, then you can still drive the car to get whatever you may need to use to get it off. Also, be sure to wipe the sealing surface on the engine before installing the new filter (with the gasket oilled).