It sounds like your child wants to be up and participating with her classmates in the more hands-on fun activities in the learning centers. Do you blame her? It is not easy sitting in any classroom, let alone kindergarten, when many of the children are doing more enjoyable activities that your daughter can see. It is human nature to want to join them.
You definitely don't want your child to get in the habit of doing hurried, sloppy work in the classroom. However, the consequences for this behavior should come from the teacher -- not from you. It is, of course, appropriate to ask the teacher for suggestions on how you can help resolve the problem.
You are definitely on the right track in trying to teach your daughter patience. She needs to learn how to complete essential tasks satisfactorily before she embarks on more enjoyable ones. This will take time. But what she learns at home will carry over to school, so keep insisting she carefully finish small jobs before playing. Remember that at home there are far fewer distractions and it will be easier for her to complete tasks.