its possible it could scare them, but just the other day i was out in southern wisconsin and a group of 3 fawns and 2 does came it to the corn in front of me, the fawn was going crazy so the "tell it to stop" the doe made a grunt.... yes it grunted... pretty loud, so i dont think it would scare them but i dont think it would call them in as much, if anything a fawn distress call could help bring them in quicker, or scare them... thats the tricky part about early season is that what may attract deer may also scare them away...
hope that helps, i would probably not call, maybe if you arent seeing anything a fawn bleat.