Professor Elm is always asking about Togepi, how can I skip that?

Prof Elm at the start of the game gave me an egg and it hatched as a Togepi, but I traded it to a friend time ago and now the professor is always asking about it.

Is there any way to skip that conversation via PokéGear? Am I missing something without telling him about the Togepi?

Solution 1:

I finally found out how to do it, even though I hadn't the same Togepi or Egg the professor gave me in Heart Gold, I had a Togekiss who was a Togetic that I transfered from Fire Red to this version, and the professor Elm still accepted it as the Pokémon he wanted to see, so it's not about only the Togepi or the Original Trainer (OT) but the evolutionary line of its own.

Solution 2:

According to Bulbapedia:

After successfully hatching the Egg containing Togepi, he gives the player an Everstone

so you don't miss anything important.

I'm pretty sure that he will stop nagging you if you show him another Togepi (an evolution should work, too).