TL/DR: With so may variables it's hard to say. Brush up on bike road safety, get a helmet, and give it a dry run. It's the only way to be sure.
Long Version:
There are so many "It Depends" in that question it's really hard to fathom. What kind of bike, whose bike is it (is it adjusted to you or someone else), how the roads are between you and the interview, how the traffic is (is it urban or rural or suburban), how familiar you are with biking on the road (guessing none if you're asking this), weather, etc.
It's also unclear if you want to know how long to get to the interview, or how it would take to commute just to get an idea if you want to do this.
Given little to no traffic or stops and a fairly flat roads and a bike that isn't completely horrendous (So my wife's $200 schwinn hybrid from walmart would pass that test, for example, but her old 7 speed beach cruiser would not), just about anyone other than the highly unfit could cover the 9 miles in around a hour. My wife is REALLY unfit and she can ride 5.5 miles averaging around 8.8Mph or so and she's not overly tired afterwords.
A moderately fit person with a descent bike can do it in 45 minutes or so (12Mph average). You'd need to be pretty fit and be riding a pretty good bike (i.e. a road bike rather than an upright hybrid) to get there in 30 minutes (18Mph average); I've been biking for 4 years and would be stretched to my limits doing that. The forums are rife with beasts would could crush that time, but that's not who we're talking about.
However, the other factors could be killer. Traffic, intersections, and hills can add a LOT to your ride time.
Personally, I'd brush up on bike road safety, get a helmet, and give it a dry run. It's the only way to be sure.