No, line up a job first, then tell the new company you will start a bit later. That way the job search is not hanging over you and you can truly relax.
If an employer thinks you are a good candidate, and finding good candidates is hard, they will be excited to have booked you and really can and will wait a few weeks.
If an employer thinks you are a good candidate, and finding good candidates is hard, they will be excited to have booked you and really can and will wait a few weeks.
I've done it before.