Only for a period of time:
After death, respiration in organisms ceases, depleting the corpse of oxygen used in the making of adenosine triphosphate (ATP). When oxygen is no longer present the body may continue to produce ATP via anaerobic glycolysis. When the body’s glycogen is depleted, the ATP concentration diminishes and the body enters rigor mortis.[2] ATP is required to cause separation of the cross-bridges during relaxation.[3] Additionally, calcium enters the cytosol after death. Calcium is released into the cytosol due to the deterioration of the sarcoplasmic reticulum. Also, additional calcium enters the cytosol from the extracellular fluid due to the breakdown of the sarcolemma. The calcium activates the formation of myosin-actin cross-bridging. Once calcium is introduced into the cytosol, it binds to the troponin of thin filaments, which causes the troponin-tropomyosin complex to change shape and allow the myosin heads to bind to the active sites of actin proteins.[1] In rigor mortis myosin heads continue binding with the active sites of actin proteins via adenosine diphosphate (ADP) and the muscle is unable to relax until further enzyme activity degrades the complex.[3]
Normal relaxation would occur by replacing ADP with ATP, which would destabilize the myosin-actin bond and break the cross-bridge.[1] However, as it is absent, there must be a breakdown of muscle tissue by enzymes (endogenous or bacterial) during decomposition. As part of the process of decomposition, the myosin heads are degraded by the enzymes, allowing the muscle contraction to release and the body to relax.[4][5] Decomposition of the myofilaments occurs forty-eight to sixty hours after the peak of rigor mortis which occurs approximately twelve hours after death.[1]
Source: Wikipedia
How such a thing might play out in the case of Jesus’ temporary death could be anybody’s guess. This is the King of the laws of physics Himself. At some point the decomposition would have to stop and the matter begin to knit back together in a way that wasn’t seen since the days of creation. It might not even qualify to be called a physical event, but something like a supra-physical event.
It sounds to me like rigor mortis requires the breaking down of tissue or decomposition. It appears that according to the evidence per the shroud Jesus’ body was still in rigor mortis when He rose from the dead. It is very interesting to me that in a normal body in three days rigor mortis would likely be gone due to the normal processes of decomposition. Remember Lazerus who they said that in four days he would already be smelling very badly. Well I think that this phenomenon of Jesus still being in the state of rigor mortis shows that even in death His body did not go through the normal decay process. Amazingly the fact that he was still in rigor mortis verifies again that this man on this cloth was/is The Christ of The Bible. I believe that this is very Scriptural per these verses:
Psa 16:10 For thou wilt not leave my soul in hell; neither wilt thou suffer thine Holy One to see corruption.
Act 2:27 Because thou wilt not leave my soul in hell, neither wilt thou suffer thine Holy One to see corruption.
Act 2:31 He seeing this before spake of the resurrection of Christ, that his soul was not left in hell, neither his flesh did see corruption.