Sure ! If you browse through this topic via the forums you'll see that some guys have reproduced this using Cubase for example. In general you'll be able to follow all "How To Make" tutorials in your own DAW since they are aiming to show you how to build a track from start to finish and not focusing on a specific DAW & plugins only.
Of course you won't get the exact same sound and you'll have to adapt & use your own plugins in place of the Logic's ones but it's a very good way to learn too. Next to that you have the stems & the samples in the course resources for this one and that should help too.