The pump produces a small volume of air at high pressure, while the engine needs a large volume of air at much lower pressure. You need some way of converting from one to the other, it's usually done with a tank and a regulator.
A car tyre is one possibility but you can only charge and empty it in bursts. For temporary engine testing I've successfully used a 2 litre lemonade bottle as a reservoir between the pump and a small engine, pinching the rubber output tube between finger and thumb as a crude regulator/throttle. I made a pair of brass nozzles to connect the plastic pipe-work to the bottle.
Not found a cheap, quiet, moderate pressure, high-flow pump for testing engines yet!
Dave