Hi Sue:
Can you -- yes. Should you -- no!
The vast majority of professional foresters and certified arborists do not advocate for the planting of new trees in old stumps unless the old stump has been completely ground out and the majority of the wood shavings/saw dust have been removed and replaced with quality topsoil.
If stump grinding isn't a viable option, then simply move your new tree planting location 3+ feet away from the old/existing stump.
Thanks for the question and best of luck!