Yes, because it could be exchanged for other goods and services. You could buy gold or land (if you printed enough money). Is that not "wealth" to you?
Just printing money in the absence of a reason is generally regarded as a bad idea. More money in the system casing the same quantity of things to buy just causes prices to go up to compensate. In short, inflation. this is very basic economics.
So the short short answer to "If you print some more money is that wealth?" is "No".