Some tec instructors will not allow you to start tec training with sidemount unless you have some sort of sidemount training already.
That can come in the form of a rec sidemount course or something like the PADI sidemount tec course which teaches you sidemount with deco cylinders, but no decompression or more complicated tec subjects.
Again, speaking from a PADI perspective, it is possible to get tec certs at the same time while doing the tec sidemount cert. however, it is like taking two courses at the same time with what should already be a difficult and intense course.
A thought is that a backmount tec certified diver would only have to learn / train for sidemount. Being able to see your valves and not having to deal with the manifold is way easier. It would be more complicated to be sidemount certified and then try to become proficient on backmount. The tec malfunction drills on backmount are way more complicated than sidemount, particularly since you cannot see your valves and backmount is not as stable as sidemount.
One of the most establish sidemount instructors in the world told me that a diver certified in a sidemount tec configuration would be crazy to do a backmount tec dive without backmount training.