Are house connections and rainwater allowed to cross?

Hello, as already stated in the headline, I am wondering if I am allowed to lay my rainwater pipe under the house connections. I have attached a picture.

That is possible with corresponding crashes. However, the height planning becomes more interesting as a result, or the RW line thus comes "artificially" lower, accordingly the shaft would have to be that deep, and so on.

That is not a problem, the plot slopes quite steeply towards the back.

Where is "behind"? You need a slope from the building to the inspection shaft, made more difficult by the drops to cross pipes. The shaft also does not have a completely arbitrary height/depth, as the connection to the public sewer also has to work. Overall, you have drawn quite long routes there, for example SW multiple times at the top of the plan out of the house, then around the corner of the house downwards on the plan to the SW shaft.

From the gutters to the shaft connection there is about 2m height difference.