Oumuamua is traveling at 26kps. For comparison the Voyager probes are traveling at around 17kps.

Even if we had a probe ready today it's already too far and moving too fast to overtake. Even if we had a probe ready when we first detected the object it would have been difficult to intercept with today's technology. It would have to be something like a Falcon Heavy already in orbit and ready to burn at a moment's notice with a tiny probe at the top for gathering the data.