Toby,
No, no direct and simple way. The best way would be to:
1) create new table (CREATE TABLE NewSchema.MyTable like OldSchema.MyTable)
2) copy data (INSERT INTO NewSchema.MyTable select * from OldSchema.MyTable)
3) Create any indexes on new table
4) drop old table.
5) fix all references to OldSchame.MyTable to NewSchema.MyTable
HTH
Andy