and sending or receiving them required no training.
If you mean paying someone to send them, then sure. But it required learning Morse code, and learning to use a keyer.
You couldn’t send them overseas until after the invention of radio. Before that the signal traveled along a wire they laid the transatlantic cable.
The first transatlantic telegraph cable was laid down in 1854 and radio waves weren’t even theorized until 1873… https://en.wikipedia.org/wiki/Transatlantic_telegraph_cable