Is it possible to change state of InvokeRequired
Yes, and it is a pretty common occurrence. Either because you started the thread too soon, before the form's Load event fired. Or because the user closed the window just as this code is running. In both cases this code fails with an exception. InvokeRequired fails when the thread races ahead of the window creation, the invoked code fails when the UI thread races ahead of the thread. The odds for an exception are low, too low to ever diagnose the bug when you test the code.
How Invoking make it thread safe?
You cannot make it safe with this code, it is a fundamental race. It must be made safe by interlocking the closing of the window with the thread execution. You must make sure that the thread stopped before allowing the window to close. The subject of this answer.
how would he know that he is or he is not owner.
This is something that can be discovered with a winapi call, GetWindowsThreadProcessId(). The Handle property is the fundamental oracle for that. Pretty decent test, but with the obvious flaw that it cannot work when the Handle is no longer valid. Using an oracle in general is unwise, you should always know when code runs on a worker thread. Such code is very fundamentally different from code that runs on the UI thread. It is slow code.
We would like to call it from Thread2
This is not in general possible. Marshaling a call from one thread to a specific other thread requires that other thread to co-operate. It must solve the producer-consumer problem. Take a look at the link, the fundamental solution to that problem is a dispatcher loop. You probably recognize it, that's how the UI thread of a program operates. Which must solve this problem, it gets notifications from arbitrary other threads and UI is never thread-safe. But worker threads in general don't try to solve this problem themselves, unless you write it explicitly, you need a thread-safe Queue and a loop that empties it.
What's if SomeMethod() takes very long time
Not sure I follow, the point of using threads is to let code that takes a long time not do anything to harm the responsiveness of the user interface.
I think it is some kind of general pattern
There is, it doesn't look like this. This kind of code tends to be written when you have an oh-shoot moment and discover that your UI is freezing. Bolting threading on top of code that was never designed to support threading is forever a bad idea. You'll overlook too many nasty little details. Very important to minimize the number of times the worker thread interacts with the UI thread, your code is doing the opposite. Fall in the pit of success with the BackgroundWorker class, its RunWorkerCompleted event gives a good synchronized way to update UI with the result of the background operation. And if you like Tasks then the TaskScheduler.FromCurrentSynchronizationContext() method helps you localize the interactions.