tl;dr: no / it's quite hard :'(
Afaik, it's incredibly difficult to restore a highly multi-threaded system to a set state in time - doing so is non-trivial, but also comes with a heavy cost as quite a few different systems need to be in a relatively stable/safe state so you know what to save. For V8, saving state doesn't guarantee that it's possible to gather all of the information necessary to get you back to where you were in a random point in time given the various execution contexts your code is likely running in. You also need to factor in somehow serializing the different contexts in which your closures and other constructs exist in which is again not straight-forward.
For example, we might not be able to traverse the heap at that point, there may be threads that are still locked, not fully-initialized objects and so on. So at best you would be capturing an incomplete state of the world which may not scale when trying to restore the state of something quite complex. If it were possible to save state, you would have a tricky time restoring it - address space layout randomization (ASLR), many different threads running and so forth.
Damn.