Not recommended for road tyres, but possible
if you have the training, but still very hard work.
That may sound odd, but it is challenging to constantly check your wheel position as regard to, bumps, gradients and ruts, etc. Road tyres won't grip very well, so you have to keep the wheels in whatever position has the least chance of sliding. even down to using a rut to get round a bend, leaning a little but keeping the tyres at 90 degrees to the wall (slope) of the rut. This means getting the speed right as well. This wasn't a good byway to show that, but crossing a rut at the best angle possible is safer on road tyres than going close to the edge. if one or both wheels suddenly slip down the side, it has the effect of moving the bottom of your bike sideways, needing you to corner to counter, but as you are in the rut, your bike just goes over, sometimes before you even realise.
Greenlanes are fun, but unless you have a bunch of experience and a mobile phone, try not to go alone.
The following vid is what happened to a guy well used to greenlanes, but decided to try his road bike.
His byway vids are on another of his channels,
Sven's Byway database videos.
Please be nice with any comments, the guy was my greenlaning hero, but sadly is no longer with us.