Yeah it can be done thats for sure. As I always say open up epics example map for emitters and they have several firework/expanding sphere particle explosions.
If I was making an expanding sphere I would have whatever sets of particles you want start from the same location. Then its as simple as making them accelerate outwards at the same speed. Then you can fade them out at the end. The effect is going to be random each time and you won't be able to control the particles exactly but I believe you can do what you want provided all the particles have the same acceleration rate.