It seems some Christians deny that the Lord Jesus Christ presently possesses blood in his incorruptible body, citing Luke 24:39 as a basis for such a belief. That being said, what is the biblical basis for the belief that he does presently possess blood in his incorruptible body?
For the verse that you're referencing, it says that Jesus has flesh and bones. He was born as a human. In this portion of Luke, Jesus had just died and was dead for 3 days. On this day, Sunday, he was resurrected back to (human) life. The stone in front of his tomb was rolled away, and the body in the tomb was no longer there because he is alive and left the tomb.
Using the previous verses for context, the verse that you are quoting is related to the previous verses (Luke 24:37-38) when he appears to the disciples and the disciples, "were startled and frightened, thinking they saw a ghost." (NIV).
Jesus is asking why are they frightened as if they saw a ghost? Because in fact, Jesus wasn't a ghost, he was a resurrected human with flesh and bones.
With regards to the dichotomy of the life in the flesh being in the blood vs. Jesus not having any blood post resurrection, after ressurrection the body is transformed. If you look at 1 Corinthians 15:42-44, it says there there are 2 bodies. The natural body (sown) and the spiritual body (raised).
42 So will it be with the resurrection of the dead. The body that is sown is perishable, it is raised imperishable; 43 it is sown in dishonor, it is raised in glory; it is sown in weakness, it is raised in power; 44 it is sown a natural body, it is raised a spiritual body. If there is a natural body, there is also a spiritual body.
Therefore, after the body is resurrected, the body doesn't actually have "blood" anymore. The body is changed into a completely different body. And so the rule of "blood supporting life in the flesh" no longer applies because we are working with 2 different types of flesh, albeit flesh that can be touched.