From the color of the vacuum hose, I'd say NO it is not the EGR line. The EGR line is green. That looks to be red, if so, it is a main vacuum line. There is a vacuum diagram on your radiator support which you can follow to make the connections. It is arranged front to back just as the devices are located on the engine.
According to the 1992 EVTM (Electrical and Vacuum Troubleshooting Manual, here are the color codes used;
From the Vacuum Tree
Pink - to solenoids
Black - To Vacuum check valve for the A/C - Heater controls
Black - To C6 Transmission if that is what is installed
Red - to Distributor
Black with Yellow letters - To vacuum Brake Booster
Black / Brown - To Speed Control
Black / Yellow - To air cleaner
Hope that helps
Good luck,

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