Heads Up :
The post you are writing will appear in a public forum. Please ensure all content is appropriate for public consumption. Review the employee guidelines for the community here.
Yes, this is possible, depending on what version of ASA code you are running. Policing exists starting with ASA 7.0(1), but traffic shaping was not added until 7.2(4).
Also, here is the configuration guide for QoS through ASDM: