Yes they do? That's what fractional reserve banking is about.
Banks are subject to capital requirements, and are concerned about profitability and loan losses, so they don't make an unlimited number of loans.
This might seem like semantics but someone who believes reserve requirements and deposits are the limits on lending would find it tough to explain why banks aren't lending huge amounts after the reserve requirement in the US was cut to zero.
Arguably the most important constraint on a bank's ability to create new loans (and hence new deposits) is its core tier one capital ratio: that is, its total liabilities divided by its shareholders' equity.