It really depends upon, (a) whether the trainer has a flat bottom (Aquila) or semi-flat (Clark Y) aerofoil, or a semi or fully symmetrical one, and (b) the amount of excess thrust available (ie: a function of engine power & prop fitted).

For a typical high wing trainer with a semi-symmetrical aerofoil such as a TWM Sky Raider Mach I, all the primary manoeuvres, including spins, can be performed reasonably well with even a modest powerplant. eg: 40LA. Of course, due to the span (65"), roll rate is relatively subdued so snaps aren;t spectacular and there's not much oomph for verticals, and the airframe must be flown through vertical manoeuvres with appreciation of energy management. With a more powerful engine in that airframe such as an LA46 or better, typical Sportsman pattern combos such as top hats, stall turns with ¼ rolls etc can start being performed with increasing ease in the vertical. Usually not as clean or as graceful as a purpose designed pattern ship even in the .46 class, but the manoeuvres can be performed so as to be completely identifiable regardless.