Not before a ship big enough to carry the cable drum has been built, IOTL it was the commercially completely unsuccessful ocean liner Great Eastern, that was converted to hold the gargantuan drum with the Transatlantic cable no other ship of that time could house, and even this was only possible due to the fact that the line operating the Great Eastern wanted to get rid of her as fast as possible to cut the losses each new trip of this ship caused them and sold this by far biggest ship of its' time - it had more than 3 times the gross tonnage and displacement of the most powerful warship of its' time, the HMS Warrior - for a mere 25.000 £, only 5% of the 500.000 £ construction costs.
Without this bargain the competitor of Cyrus West Field's Atlantic Telegraph Company, building a telegraph line through Canada and Alaska as well as Siberia necessitating only the crossing of the merely 85 km wide and 30 to 50 m deep Bering Strait by an undersea cable, might have won the race to first connect Europe and America by telegraph and might thus have even further delayed a working Transatlantic cable. Then there's also the necessity to develop an insulation for the cable able to withstand the adversities of the ocean (IOTL the first cable laid wasn't and stopped working within a few weeks).