Upvote:5
Yes, it appears they did.
Wikipedia's caption on the map below reads:
Italian territory claims by Italian irredentism activists in the 1930s, including Nice, Ticino and Dalmatia in green, Malta in red, and later also claimed Corsica in purple
"Ticino" is of course the Italian name for what German-speakers call "Tessin".
How hard this was pushed is another matter though. I did find that Ticino was the source of rather a lot of unrest from the mid to late 19th Century*. Once Mussolini came to power, this got wrapped up in Republican vs. Fascist politics. The Fascists went so far as to stage a march on Bellinzona in 1934. However, they faded away to nearly nothing soon after that.
* - The overt political reasons are so buried in Swiss political minutiae that's it tough to imagine anyone caring, except to use them as a convenient pretense for separatism