Imnotfrommars,
Yes, if you are using ISO, per Georg Henzold's: "Geometrical Dimensioning and Tolerancing for Design, Manufacturing and Inspection" Fig.20.127 he does just that, using coaxiality (concentricity symbol) in combination with profile. The illustration does not show it with an MMC modifier but in his table on the use of modifiers 9 (table 9.1) would allow it.
Using ASME, I believe yes, also by using a combination of profile and position as described in the standard for use with profile but it may not be specifically illustrated with a cone in "the book".
Frank