Only if "mobile" equates to "iPhone". And even then, it ran; it was the rendering engine for the old iPhone Youtube app. Lord Jobs simply didn't let it into the App Store for fear it would displace all the native games like iBeer.
Flash ran on Android natively; even ran on Windows Mobile 6.5, for those who remember it. It was Adobe that ended support for it, as Google also didn't want them competing against the Play Store.
It still doesn't work on mobile. That's my only thought. My phone is more powerful than my computer was when Flash died. Makes no sense.