Can the Nintendo DS or DS Lite Play Game Boy Games?

From Nintendo DS Accessories - Scott The Woz

The DS Lite is unable to detect a game when the unit is on and a game is inserted You'll need to turn the device off, insert DS Lite andor GBA

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ds with gameboy slot But the one thing that the Dsi had over the DS Lite was that it had an SD card slot, which gave the Dsi amazing potential for homebrew modding