Can a 70 year old woman achieve orgasm?

Yes: If she wants it, she can have it! there is no magic age where orgasms become impossible. In fact many seniors have a better sex life than some people half their age. She might need some help with lubricant, but it can be done if she chooses to pursue it.

Orgasm: Yes, of course, there are no age restrictions or upper limits to ability to achieve orgasm.