No. Baphomet was a figure connected to the ill-fated Knights Templar in the 11th and 12th centuries. An alleged heathen idol, which the Templars were accused of engaging in heresy and idol worship.
Lucifer is most famously cited as the once-glorious but fallen angel, insubordinate of the Judeo-Christian God, who was cast down to earth. There is, however, much disputing text in both Judaism and Christian writings relating to Lucifer, and the use of that name.