Yes you can do it, it will be safe
...
until the second programmer comes around and does not understand the same assumptions you have made. That second (or 3rd, 4th, 5th, ...) programmer is likely to start using the object in a non safe way (in the creator thread). The problems caused could be very subtle and difficult to track down. For that reason alone, and because its so tempting to use this object in multiple threads, I would make the object thread safe.
To clarify, (thanks to those who left comments):
By "thread safe" I mean programatically devising a scheme to avoid threading issues. I don't necessarily mean devise a locking scheme around your object. You could find a way in your language to make it illegal (or very hard) to use the object in the creator thread. For example, limiting the scope, in the creator thread, to the block of code that creates the object. Once created, pass the object over to the user thread, making sure that the creator thread no longer has a reference to it.
For example, in C++
void CreateObject()
{
Object* sharedObj = new Object();
PassObjectToUsingThread( sharedObj); // this function would be system dependent
}
Then in your creating thread, you no longer have access to the object after its creation, responsibility is passed to the using thread.