Would it be theoretically possible to trade a Pokemon from Red

Yes. Shiny-nes was based on IVs in gen ii

>>25041150
Shiny Pokémon are determined by IVs in Gen 2 specifically so Gen 1 Pokémon can have a chance to be shiny.

Gen 2 code is kind of messy as a whole to keep Gen 1 compatibility. Pretty much everything is based on IVs so they wouldn't have to add new data values (they did make happiness its own stat but it resets anyway when you trade it so it's not affected any worse by trading to Gen 1), which is why they completely redid everything in Gen 3.

>>25041150
shiny Pokémon didn't exist in 1st generation of Pokémon.

>>25041150
Being shiny in Gen 2 was based on IVs. Unfortunately, this meant only females of species that were already 100% female could be shiny.

>>25041170
I almost forgot to mention! This was because gender in Gen 2 was also based on IVs.

>>25041150
There is a glitch you can do change a ditto from your 1st gen game into a shiny by using some kind of transform + mimic glitch with shiny gyarados. And when you capture the ditto and trade it over, it's shiny.

>>25041190
Of course, the shiny gyarados I am talking about is the one you get from the lake of rage in gen 2.

>>25041170
Wait, how is that possible? So no male Pokemon at all can ever be shiny? That seems kind of dumb no?

>>25041205
Actually, it works like this:
>Since gender is also determined by IVs in Generation II, it is impossible to have a Shiny Pokémon with a gender ratio of 7M/1F that is female in those games, as the highest Attack IV a female Pokémon with a gender ratio of seven males to one female can have is 1, while the lowest Attack IV a Shiny Pokémon can have is 2.
>Since Unown's letter is also determined by IVs in Generation II, only Unown I and V can be Shiny.
>Since Hidden Power is determined by IVs, a Shiny Pokémon's Hidden Power type in Generation II can only be either Grass or Dragon, with a power of either 50 or 70.
>As Generation II does not allow two Pokémon to breed if they are likely to be from the same family, two Shiny Pokémon can never breed in Generation II.

>>25041205

He's slightly wrong.
Gender in Gen II was based on a Pokémon's Attack DV. Shininess was Attack DV of 2,3,6,7,10,11,14,15 and all the rest at 10 (which incidentally comes out on 8/16^4, or 1/8192).
Gender was based on attack DV with the lower scores being females and the higher males (patriarchy). In 50/50 Pokémon, attack DV of 0-7 was female, 8-15 was male.
Pokémon with 12.5/87.5 gender ratios needed to be 0-1 attack DV to be female. Since you need at least 2 to be shiny, that meant 8:1 Pokémon could never be both shiny and female.

They rewrote the whole shit in Gen III, splitting DVs into IVs and PVs. IVs now did Hidden Power and stats, PVs did shininess and gender (and also new additions as natures and abilities).

>>25042690
So basically the only things in Gen 2 that couldn't be both female and shiny were the starters and Eeveelutions.

>>25042720

And Snorlax and the fossils.
But yes.

>As Generation II does not allow two >>25041256
Pokémon to breed if they are likely to be from the same family, two Shiny Pokémon can never breed in Generation II.

Interesting, never noticed that. If this mechanic was still being implemented breeding for perfect IV would be much more bothersome.

>>25042869

The reason for that is because the same, or +-8 Defense DV's can't ever breed. And in gen 2, bred Pokémon will inherit their opposute parent's defense DV or +-8 that same DV.

Example: Take M-Pidgey x/x/13/x with F-Spearow x/x/3/x. If you get a F-Spearow egg it will always have either 13 defense or 5 (13-8). If you get a M-Spearow egg it will always have 3 defense or 11 (3+8).
The eggs can thus never breed with their own parents.

Since shinies in Gen II always have 10 defense. They get the incest-flag trigger. Even if there's no incest.