Partial correct, but it is far more difficult than one might imagine. Here is a good article that explains some of the most important concepts.
https://99bitcoins.com/know-more-using-bitcoin-anonymously/
Basically, if the right precautions are taken, it can be autonomous. However, as this article points out, one has to be VERY careful about other ways of detecting the transaction.
While I do not believe in coincidences, it seems odd that my computer was hacked yesterday and I had to pay a company $100.00 to get it running again with a year subscription. I have not heard of any individuals being hacked, therefore I have to accept that it was a coincidence?