If you've signed an application for employment, or some other form of documentation....yes. Typically, when an employer gets to this stage, they're certainly interested in you and don't use this measure as a screening method.
In this day and age of class action law suits and such, employers verify dates of employment, title and salary. Anything above that, such as reference checks from your existing or previous managers is a sticky situation....most mid to large companies will not do this as a practice, as they may be putting themselves at risk. To reduce the risk, these companies outsource this tedious function for a number of reasons.
The best way to get more money is to interview well...talk about your accomplishments and how you can add value, not merely do the job, and you will have more bargaining power. Employers expect pay higher to attract new emplyees, however if they feel they can "get you for cheap", some may, however this isn't a wise practice and typically contributes to high turn over and low job satifaction.
In any event, plan your interview....go in with the mindset that you are the MOST qualified for the role, hands down. Share how YOU lead a project, did something creative, were an active participant/contributor on a team and most importantly, what was the RESULT of your actions....did it save the company money, did it make a process more efficient, increase morale, land a new contract, etc.