The following Scripture both refers to the believer who faces physical death as it refers to the one who was chosen by God to walk through that same valley while He is still alive on earth.
“Yea, though I walk through the valley of the shadow of death, I will fear no evil: for thou art with me; thy rod and thy staff they comfort me.” (Ps 23:4 KJV)
Jesus confirmed those two different possibilities of dying when He answered Martha,
“I am the resurrection and the life. Whoever believes in me, though he die, yet shall he live, and everyone who lives and believes in me shall never die. Do you believe this?” (Jn 11:25-26 ESV)
Although I am aware of the fact that most expositions on the latter verse where Jesus mentioned the one who lived believing in Him that should never die point to the second death (which is eternal), I believe that Jesus also pointed out the possiblity to enter His kingdom while still living in this world.