Maybe yes and no. Look at any sailboat mast shrouds, 2 each side and fore and aft on the average boat.
If a trawler mast is supported like that, I guess it would work.
On my GB36 the mast had one per side at 45* forward to counter the boom lifting a dingy.
Beyond the issue of sailboats having miserable comfort quotients without the inertia of a mast and standing rigging there’s a major difference in where the propulsive force is applied to the hull. Props are typically aft. Shaft angles are typically kept as low as possible. Force is applied usually around the site of the meeting of shaft and motor. Because of the design elements of most sailboat hulls they tend to swat under power much more than powerboats. Under hull speed at very low speeds a minor issue but as more power is applied they swat more and aft reserve buoyancy starts to be used up. Even on sail the boats waterplane is quite different with a kite or code or double poled headsails and no main than with a balanced sailplan. Not only ballast requirements to allow a decent comfort is required but some form of adjustment to allow the boat to remain horizontal is needed. This is difficult to do. Possible with the very old full keel designs but much more difficult with non full keel boats and boats without major reserve buoyancy aft.
Economically such a conversion would seem to make little sense. Even needing a major refit a hull designed for power would likely give a better result at less money.
