No, you can go higher, to 180 beats; there's no problem with that. When you have a normal heart, there's no problem with increasing the heart rate when it is an organized electrical activation. That's what we call sinus rhythm.
The problem comes when you have the other type of arrhythmia, ventricular tachycardia. You don't have that in people who have a normal heart, who don't have any myocardial infarction, who don't have any Wolff-Parkinson-White syndrome, or other type of heart disease.