You can have the treatments done the same week, but not in the same area. Coolsculpting does not actually remove fat, so fat loss is not permanent. Coolsculpting does cause some scarring around areas of fat to encourage the fat cells to shrink. This does not always work or work well. Liposuction...
Body sessions with EMSculpt can be done at any time you wish. I would avoid treating the face for at least 6 weeks from surgery just to decrease discomfort to your nose.
Avoid radio frequency and either device should do the job for you.
Look for experience to providers and recognize these our temporary treatments
Best,
Mats Hagstrom MD