If you consider combat, as in shadow boxing, as cardio, here is a thread for you:
https://darebee.com/hive/info/851594...-separate-days
and more specific:
https://darebee.com/hive/news/837470...ge2#post838283

As an overall thought: It might be possible for some, not for others.
It depends on a lot of variables. We do not know your gender, age, goals or fitness-level. So it is impossible to give valid answers to very specific questions.

With that in mind:
If you consider SP, with all its Pistol Squats and L-Sits, clapping and one-am pushups, you seem quite advanced. So what the heck, give it a try. A couple of Fireheart sets might be a good warmup.

Best is to find out for yourself and listen to your body.
Take care.

Thanks a lot for the informative reply. I am not on a level where I can actually combine such programs yet, but I am planning on doing this in the future, as soon as I have reached a comfortable level with Fireheart which is still quite challenging for me.