Uploading all texture MIPs in one call

Is there such a call? That is, to collapse this kind of loop:

   for ( all mip_levels )
    gl{Compressed}TexSubImage[23]D( target, mip_level )

into a single call?

I can’t believe I’ve been working with GL all these years, and I don’t remember ever seeing this. We have glTexStorage* to get rid of the glTexImage loop on create. What about the call to get rid of the glTexSubImage loop on update?