Composite video?

In one of the video’s I see something that looks like a composite video signal.

Can such signals be measured on the HPS140 and, if so, what are the correct settings to use?

It depends on what component of the video signal you wish to see.
The overal shape and level will not be a problem, however, the colour burst cannot be examined in detail.
Most likely, auto setup will work fine to get a stable signal.