Yes, Virginia, you can dye fabric in a front loader. I do it all the time. This post documents my method. Please keep in mind that your results may vary.
Equipment and supplies:
Maytag Neptune front-loading washer. The model I have dates from 2001.
A water heater that is set dangerously high
Dharma acid dye
fabric (mine is silk double georgette)
Also FYI, this also works with Procion dyes (with soda ash in place of the vinegar; also with Procion dyes you need to add salt through the detergent port right at the beginning before the adding the dye slurry.)