Given the circumstances surrounding the events, and the prayers spoken specifically about those things, I would say yes. Also, there were follow up events that provided affirmation, as though He were saying "not only am I still here, but I was there and always have been since this trial began for you". It's not just that I have no other explanation, I believe God was and is the explanation.
The specific events I speak of are surrounding the adoption of our daughter and the trials and victories we experienced up until and even after her adoption that in my mind are miraculous. One such event was wondering how in the world we would afford it, and the "bank made a mistake" card in Monopoly thing actually happened to us. We received a check for the exact amount we needed at exactly the right time it was needed. It was not expected. And sure, this can be attributed to coincidence but how often has anyone received a check for $2k out of the blue when that amount of money was needed? This was mere days after we had committed to adoption, trusting that God would provide for us as He had promised. This is one of many many "coincidences" that happened along the way, so many that yes I have no other explanation for all of it to have happened exactly when it did. In the scientific community, this is the equivalent of finding patterns to establish a cause or solution.
But, this is also a mysterious aspect of the personal relationship with God, the patterns apply only to my life and my family, they have little bearing on others. He reveals himself personally to us bit by bit, and everyone's story is a little bit different, but the common denominator is the same. Many of the testimonies I've heard have similar characteristics, still tailored to individuals but appealing to all who need that affirmation.
Does that help understand where I'm coming from? We may not agree but it is good to understand each other's view points if nothing else but the sake of conversation, that is what makes this stream so neat to me! Safe driving today wherever you're headed. Nasty and rainy here in SC this morning.