That will do.
Now
First success with an LCD is a right of passage, which is why slavish copying of a known good device, circuit and sketch are recommended, "Jello Whirled!" kinda test.
The I2C type interface is no easier or harder inherently. It uses fewer wires, but introduces some issues that must be addressed. I would say it is ever so slightly easier to get the 4 bit data lines kind like you are using working.
HTH
a7