Yes, and no. Steamships were feasible in the 1790s the same way the internet was in the 1950s - you could build one, but it wouldn't do much. A 1790s steam navy would have an extremely short range, be vulnerable to poor weather, engine trouble and parts shortage, and would only have an edge over sailing warships under very limited circumstances.
It might be good for coastal defense and for discouraging too close a blockade. But the logistical obstacles would be so enormous the question must be asked if it would be worth it. Remember, this is still bleeding-edge technology, the engines are all one-of-a-kind and not optimised for shipboard use, and experts are rare, expensive and of doubtful qualification. Even in the 1820s, building steamships was a dodgy proposition.