Do they have a mind of their own? Probably not, but some plants so are well equipped at taking over they even manage to get us to help them (i.e. the dandelion, the apple tree, and the tulip).
You may be surprised or confused at my choices of plants. But the dandelion loves groomed grass lawns. Every time we mow them down we generously spread their seeds that blow over into our neighbor's yard.
The apple tree entices us so much with it's sweet aroma that we have moved it far from it's native home in central Asia across the vast oceans to new continents. The little apple seed would never be able to accomplish such a journey without our help.
The tulip was a surprise to myself until I learned it's history. Back in the heyday of the Netherlands when the Dutch were creating a lot of commerce from overseas trading. The tulip bulb became a status symbol for every well-to-do person to have in their garden. The price of a single bulb sky rocketed. People kept spending more and more money on them because it was the must-have of the time. That is, until the market crashed. The bulb strain became prone to disease and the flowers were not able to withstand the pressure they were under to perform their floral duties. The Netherlands literally fell into crisis. They are still very well known for their beautiful tulips today. And they take their management of this commodity very seriously.