Can I take aspirin and ibuprofen at the same time?

Yes. Yes but stronger effect on coagulation and harder on the stomach.
Not advised. They are both nsaids and should not be taken daily together for long term use as may cause gastritis and stomach ulcers.
Not a good idea. Risk of stomach bleed is increased with this combination. Many people take a daily baby Aspirin to reduce risk of blood clots, strokes, heart attacks, colon cancer, skin cancer, etc. Ibuprofen will destroy this Aspirin benefit if taken at same time. We advise these people to wait 1/2 hour after Aspirin before use of ibuprofen, or to wait 6 hours after Ibuprofen before dosing aspirin. Or simply tak.