No, I've not found a way to adjust the volume by changing any coding settings or anything like that.
You could possibly add an amplifier yourself between the e-sound module and the speaker. In my test setup I pins 5 + 6 go straight to a speaker. You could possibly divert pins 5 + 6 to an amp...
Hey, I've been reverse engineering this over the past couple of weeks. I have a module making sound on the bench. I'm publishing all of the info over on the OpenInverter forum If you're interested. Sharing here as some of the info I found here helped me figure it out...