Economic growth is measured in GDP growth. GDP is roughly speaking the monetary value of the goods and services a country producers. The monetary value of a good or service roughly correlates with how much people want that thing. Hence it's almost tautological (trivially true) that people want economic growth.

Indeed economic growth isn't required. It usually just happens as people produce the goods and services they or others want more efficiently or with more resources.

Can growth go on indefinitely? Basically yes. Nowadays a lot of things of value are just information (think about a computer game). We can produce a lot of information. Also, even if there were hard limits to what you could produce, you can have infinite growth by asymptotically getting closer to what is the theoretical maximum without hitting it, although growth will be slower and slower.