No!...
...A player that plays ONLY 78s...never seen one...unless you are referring to an acoustic "Victrola"-type of affair...
TTs capable of playing 78s usually have multiple speeds...16...33.3...45...78...or some combination of those numbers...
16rpm is really lo-fi...used for language lesson or spoken word disks...
I mean you might be able to wire up a rheostat or come up with a Rube Goldberg series of belts and pulleys but why bother? Plus the tone arm/cart tracking weight would probably spiral-slice your vinyl...
jimHJJ(...Try to score some 78s and a supply of cactus needles...go retro-retro...)