While it's possible its certainly not the most economic way to go about making more power. In fast it would probably be more cost effecient and power effective to use a huge turbo and use nitrous to spool it

 

Having it supercharged and turbocharged it at the same time would be the hottness. I know they make one supercharger for the Mini and its a 1.6 liter engine so it could be possible to find one for the Audi. Or maybe switch to 2.0 Header from the GTI i think and use that supercharger. I know somebody on AudiWorld swaped the header with a 96 Vw one. I don't know what he did about the valve timing because I think the 2.0 header is only a 16v. Then add a Dahlback K04 in there. But I don't know how possible it is and how the car it's gonna handle it. I know it sound really crazy but if it's done it's going to be a legend for the 1.8T.