Is the human lifespan still expanding?
You will find here on the UN World Population Prospects plenty of data and visualization about change in life expectancy over time (among other things). The data also include predictions until year 2100.

For example, here is the life expectancy data and predictions over time for men in Morocco. 



and here it is for women in Norway (note that x-axis range differs between the two graphs)



I picked two random countries but the general trend is very consistent among countries.


  Is the human lifespan still expanding?


Yes, life expectancy is still increasing in pretty much all countries and is expected to keep increasing.