Most of us had to adjust our chains early, then infrequently. I needed to adjust mine after just a hundred miles or so, but it's been in spec ever since. Actually, that need for an early adjustment is normal. I always check my chain tension and straightness when I pick up a new bike too since that is something the set up guy usually does, often incorrectly.
It depends on the specific model, but for the majority of bikes (particularly smaller sport bikes) there is actually very little physical "set-up" involved when the bike is removed from the crate*. In the case of the CBR250R/300R, basically the only thing that requires assembly is filling the battery with electrolyte, charging it, and then installing it in the bike.
Although this is a CBR150R, you can see the bike is fully assembled inside the shipping crate...
From there, it's just a matter of the dealership technician checking everything over... fluid levels, tire pressures, throttle & clutch operation, fastener tightness, chain free play, etc. It's actually pretty rare that they need to make adjustments during the PDI, especially when it comes to Honda motorcycles... as one might expect, Honda does a very good job of getting things right at the factory.
After every line item on the PDI sheet is checked off, the technician takes the bike for a test ride. And yes, every new bike should have a few road test miles/km's on the odometer before the customer takes delivery (If your new bike literally has 0.0 miles/km's on it, you should be asking what else may have been skipped over on the PDI check list).
* Some bikes (typically off road bikes) will be shipped with the front wheel off of the forks, both to use the forks as an attachment point to secure the bike inside the crate, as well as keep the size of the crate as small as possible... same for handle bars. The front fender on an off road bike will often need to be installed as well. In some cases street bike clip ons may need to be rotated into position and the pinch bolts tightened. For a touring bike that comes stock with a tall windshield, that will also need to be installed.