No. 'Dividends' do not matter.
The cash going into the companies bank account belongs to the shareholders, and it's reflect in the stock price.
When a company gives out $1 in dividends, it's valuation goes down by $1.
Technically, dividends don't matter.
In reality it's a little different, and dividends mean certain things, mostly about the companies ability to generate returns with that cash than you, the investor.
And FYI - there can be 'unlimited growth' - as long as there is innovation, and 'stuff keeps getting better' - we will see growth.