Link contacts with electrical tape?

My question it's really small:
Is it possible to link cables (and contacts) with electrical tap?

Don't. It's a mess.

You should solder or use better than twisting wires at these low voltages.
For very thin wire you can't solder up to thicker wire if you can't solder at all, find cable splicers like SkotchLoks. Check wire gauge before buying. Check the price too, maybe solder is not so bad.
https://www.amazon.com/3M-Scotchlok-Butt-Connector-Yellow/dp/B0076AY6J8

Look up words: heat shrink tube

That is what electronics pros use, not electrician's slap-on tape.