here is what the city law says: what do you think. especially the part that says "except within ones own dwelling"
9.66.030 Throwing and shooting—Prohibited acts—Nonapplicability.
A. It is a violation to throw stones or missiles of any kind or to shoot arrows, rubber guns, slingshots, air rifles or other dangerous instruments or toys on or into any pub-lic or private place except within one’s own dwelling.
B. This section shall not apply to the shooting of arrows under the direction of a certified public school teacher in the municipal recreation program or public school physical education program.