( I will answer as if you are not car savvy, so the response is lengthy)
If you know the service history of the vehicle and indicates the mileage the tranny fluid was last changed, then the answer is yes. There is a filter in there also, have that changed. I also recommend replacing the fluid pressure switches.
If you don't know the last time the tranny fluid was changed, then check the color of the fluid, "smell it" and put some of the fluid between your fingers and rub 'em together to see if you feel any "grit" in the fluid.. If its a dark black and smells burnt, or has some grit in the fluid, then changing the fluid may bring out a problem with the tranny. If it does not smell burnt, then chances are good that no problems will occur if you change the fluid.
The reason problems may occur after changing the old burnt, gritty fluid is because, this indicates the fluid was not changed timely and particles from gaskets, seals and or clutch packs may be floating around the case, lodged in crevices, etc. Changing the fluid by a simple drain and fill can cause those particles to come loose and produce problems. Never flush the tranny, that process will definitely loosen up particles and could stress the gaskets and seals and cause problems.
Wish I had better news for ya but, maybe the maintenance was performed at a regular interval and the old Accord will be good to go after the tranny is serviced. Report back if needed.