Answer:
Yes
Step-by-step explanation:
The US Constitution states that the justices "shall hold their Offices during good behavior." So a justice can hold the office as long as he or she wants unless he or she is removed by impeachment. It has only happened once in the entire history of Supreme Court.
But a justice does not have to stay in office for live - he or she can choose to quit at any time for whatever reason. Justice Kennedy is a recent example as he chose to retire.