short answer, yes. Kids have been growing into .30-30- class guns for 120 years now.
Gotta ask though, why the monolithic bullets? Are they shaped like traditional .30-30/.303 bullets (to avoid seating problems), will they expand reliably on game at sedate velocities, is it a no-lead zone?
The only monolithic bullets I'm familiar with for that class of gun are solid lead monoliths.