I worked full time while MCAT studying, applying, and interviewing and it was honestly no problem. I'm fortunate enough to get 3 weeks annual vacation, and my interviews were at least 2 weeks in advance so I just scheduled "long weekends" and went to the interviews without telling my company my true intentions.
Honestly, if you are sincere about going into medical school, you shouldn't worry about what your current company thinks about you taking a day or two off here and there. If you have to take the time off to go to an interview, your chances of getting in are already looking pretty good!