I doubt that. Maybe if you abuse it and take tons and tons of them. Or if you have gastrointestinal problems in the first place.
My doctor actually prescribes one small aspirin (81 mg) a day to thin the blood and lessen the chances of blood clots and strokes.
I don’t exceed the recommended dosages, or take it more often than recommended. Never had any problems. No medicine is absolutely or universally safe, but I think that for most people aspirin is less risky than tylenol in similar amounts.
So did mine. He also told me to stay away from aspirin otherwise as too much of it could cause stomach irritation. About two years later I was in his office for a checkup. I had been throwing up and my stomach hurt... you guessed it!
Not yet bleeding but on it's way. Off the aspirin, on the antacids, bland diet, in six months I was fine. Even a low dose buffered aspirin can cause trouble over time especially if you are under stress.
You may doubt, but keep an eye on your stomach. If it starts to hurt, burn or you start throwing up for no reason go see your doctor.
Much easier to fix before the bleeding starts!