Are Trace Intersections Possible
This is a perfectly normal thing to do.  You probably don't find any discussion about it because it is such a common requirement.

Place the horizontal connections as tracks on the top side of the PC board, and the vertical connections as tracks on the bottom side.  Place vias (plated holes) where your two red dots are to make the connections between the top and bottom layers.  If the diodes are through-hole parts, they will easilyconnect to the bottom tracks.  For surface-mount diodes, you will have to place vias to connect them to the bottom tracks.

If you are making a home-etched single-sided board, you will have to use wire jumpers to make the vertical connections, and will probably need two pads in the horizontal tracks so you can connect the two vertical jumpers to the horizontal track.