It's theoretically possible to add an effects loop to any amp if there's room for just one TRS ('stereo') jack, which you can use as an insert point. You need to break the signal path at the right point and run it via the jack, which needs to be switched so it's bypassed when there's no plug in it.
But there are some problems...
First, in a tube amp the signal level at any point late enough in the circuit to make it worthwhile (ie after distortion) will be pretty high. This means that it almost certainly won't work correctly with anything other than line-level processors, and maybe not even then. You can solve this with an external step-down/up box though, to cut the level coming from the amp, run it through the effects, then boost it back up to the original level again - essentially the same as the circuit that's inside the amp if it has a proper loop.
Second, if the amp has a post-phase-inverter MV (which I think the Transatlantic may do, if it's loosely based on Vox/Matchless-type circuits), it isn't really possible to put the loop after the distortion, because at that point the signal is in two parts, reverse phased with each other. In theory you could do it by using a true stereo FX processor running in Dual Mono, but you'd need two separate loops. (And you'll still definitely have the level problem.)
Third, if the amp is using mostly power tube distortion, there's really no point anyway, since it isn't possible to put the loop after the distortion at all.
I've fitted simple loops to quite a few tube amps over the years, and almost always run into one or more of these issues, especially with smaller amps. If you really want to use FX after the distortion, it's much easier and probably better just to get a bigger amp with a proper loop, use a pedal or outboard preamp for the distortion, or just add the FX in the mix.