Not really. Capital growth far exceeds material growth or labor growth in the US, and has for some time now. The "smart money", is investing in "money."
You only need an inexhaustible supply of currency, and activity requiring currency to drive the demand for currency. Even still, there is no such thing as either of those. While currency might be theoretically inexhaustible, it is based on debts/promise of repayment. There is only so much debt a person can get into, or even theoretically be able to pay back, so not in actual practice. Similar with economic activity that drives demand for currency. There is only so much raw material that can be utilized at any one time, etc-- so there is indeed some limit on the maximum possible economic activity. So, quite right, the notion of eternal economic growth is the pipedream.
Concerning robots--
NO. The financial industry has been hit hard by intelligent software agents, replacing human investment brokers and the like as well. Automation hits everyone, everywhere. Only those vocations where robots are, for some reason other than cost, not able to replace humans acceptably are safe from the scourge of automation destroying jobs.
About 4 years ago now, Oxford University ran a pilot study into the effects of automation on the US economy. The results were not pretty. They estimated that 25 to 30% of US employment will be replaced with robots or software agents within 20 years. They additionally torpedo the canard that new jobs will replace the old ones, citing work by several of their peers indicating that at an increasing rate, college educated students are seeking employment traditionally held by significantly less educated people, as the jobs that are supposed to be being created for them, are not being created.
http://www.oxfordmartin.ox.ac.uk/downloads/academic/The_Future_of_Employment.pdf