If no spark is happening does that mean it could be the coil?

I would suspect you are talking about a gasoline engine and if so than yes if the coil is bad you will not get a spark. But that is not the only reason why you may not have spark. Pull the coil wire off and pull the insulation back on the end of the wire, stick a screwdriver into the coil where the wire should go, then hold the wire about an 1/8 away from the metal part of the screwdriver and have someone try to start the engine if the coil is good it should arc between the screwdriver and the wire. Be careful to only hold the insulation on the wire and the nonmetalic handle on the screwdriver, a coil can give off up 100,000 volts, it won't kill you but it hurts like hell.