I don't know why this comment is being downvoted. If medicine still advances at the rate it is now, by the time we will be 60, the average old age will be in the 100s.
Due to "rectangularisation of the survival curve", probably not (there appears to be a max age of around 110). Current rates are 3 months more life expectancy per calendar year. However, in the US and various other places the improvement is seriously wobbling due to wobbly bellies.