Scheduled a job interview 6 days from today? Is that okay?

If the employer is looking to hire someone as soon as possible, you will not be the one to get a job offer. While you delay your own interview, the employer is busy finding someone else who wants the job. You are taking a very passive approach to your job search and should not expect a job offer anytime soon. I have to question why you would even be applying to jobs if you are not willing to make the time in your schedule to interview in a timely manner.

You should be fine. You are busy because of your current job - and potential employers like it when someone is already employed. When you do interview, feel free to politely inject when appropriate that you would have liked to have interviewed sooner as you are really interested, but it would have been irresponsible to drop your current projects that needed your immediate attention.