Not only is it possible, but it's utterly normal. As others have said, tell interviewers your constraints. Hopefully, taking a vacation day (or half day) isn'

Not only is it possible, but it's utterly normal. As others have said, tell interviewers your constraints. Hopefully, taking a vacation day (or half day) isn't impossible at your current job. Having appointments in the middle of the day isn't unusual. Make sure all phone calls are scheduled and step out to take them.