Noplace. "Set packing", yes, in Hamlet 3,4: "This man shall set me packing." "Send packing", yes, in Henry IV Part 1 2,4: "'Faith, and I'll send him packing", and in Henry VI Part 2 3,1: "'tis politicly done, To send me packing with an host of men", and in Richard III 3,2 "Ere a fortnight make me elder, I'll send some packing that yet think not on it."
But not "start packing".