I think its totally possible, but you will never have both groups thriving. You might have one thriving but the other hanging on, but not both unless you put a lot of work into creating the appropriate light intensitys for each coral.
SPS is a broad category and in my opinion it encompasses, acropora, birdnests, montipora, stylophora, pocillopora, hmmm what else is generally accepted as sps?
Anyways, it's totally do-able but there are limitations. Some SPS corals require more light intensities than other SPS, than other LPS. When you adjust your light intensities to sustain a high-light requiring coral, the corals on the same horizontal plane, should also be able to tolerate that light level.
I think the biggest issue you could run into is differing light requirements, once you address tank stability and flow requirements.
Can certain LPS/Softies survive at the same light intensities as some SPS corals and vice versa? You might end up with brown acropora and nice LPS or nice acropora/montipora and slightly bleached LPS.
All this being said, there are some bullet proof SPS corals that can tolerate instability/lower light. Birdsnests, some montiporas, green slimer acropora, tricolor acropora, etc.
The best answer....try it out. Experiment. Move corals up and down if they're not getting enough light.