You can’t do what you describe no.
You either need to upgrade from 1.7.9 to 1.8.13 in place, and from there on to 2.2.3, or you can install a new 1.8.13 and move your data to that.
Assuming you’re going to switch to Docker at the same time, then we have notes on moving to Docker which will work for going to 1.8.13, and then you can directly upgrade that to 2.2.3 very easily. So you’d do a fresh install of 1.8.13 and import your data leaving your original server alone, and then upgrade that. The notes explain it in detail.
https://xibo.org.uk/docs/setup/upgrade-and-switch-to-xibo-for-docker-install
https://xibo.org.uk/docs/setup/upgrade-xibo-for-docker-install