Can't connect pads

KiCad knows (or should know) what connections to make from the schematic, which is coupled to the footprints on the PCB via the netlist.

Each net in the netlist gets a name, and this name is printed under the pin number.
It’s a bit vague, but the small scribbles under the numbers “21”, “22”, and “23” are the names of the nets which those pins are a part of.

Your diodes do not have those scribbles under the pin numbers:

And this means there is some error with the netlist which has to be fixed first.

According to the datasheet:

the LTW-150TK is a small SMT Led:

… and it only has two pins. This does not match very well with what I see on your PCB.

On the top of this forum there is a very unobstrusive link to the FAQ . The FAQ of this forum has a lot of detailed articles about a lot of subjects in KiCad and is currently the most up to date written tutorial.

This may be a good start for you: