On-site production can also be called construction site fabrication: that is, shuttered / welded / carpentered on site. The lump from the example image I would probably cobble together with concrete, aerated concrete, steel beams, square tubes, and drywall cladding – before plastering it would look like it was put together by Dr. Frankenstein, I subtly described it as "heterogeneous".
A carpenter can also do that, with columns for example made of beams wrapped in drywall (the cross-section including plaster could end up under 30 cm). However, the floor connection of these columns would be "non-trivial". As I said, ask Massa Haus how they do it in reality – that surely can be done in a less bulky way.
However, consider: the carport in the example image you used fits the budget more with the cars underneath than with the house. At that price, you can connect your whirlpool to the heating, and even gild the range hood.
I would definitely not want to cover the space where the yellow S60 (?) stands in your picture with such a carport: the poor tenant also needs light in the bathroom and kitchen in the morning, even in summer, and visually the main entrance becomes a side entrance, if only because of its "hidden" location.
So I agree with Yvonne’s suggestion and would leave the parking space closer to the house of your two, as well as the tenant’s, uncovered.