Do your children have god parents?

I haven’t any specific link with my godmother or godfather that were my parent friends. I am French and we are not catholic nor practising.
My godmother appears not to be a long term friend of my mom.
She still see my godfather but we haven’t got specific relationship and he is not interested to ask updates.

My brother has uncle/ aunt as godfather/godmother and it is better as he still have relationships with them.

In France, you can do a republican ceremony at the city hall and sign some certificates.

I may do the same setup for my kid with close family at the cityhall in france if possible as it is where live our family.
Is it possible in Switzerland ?