An evidentiary hearing can be continued on the showing of good cause. But inconvenience isn't good cause, and if you are this close to trial, it's going to be hard - hard to get a continuance and hard to find a lawyer who can step in on short notice unless it's a straight-forward case. You will want to get your entire file in an electronic format so you can email it to the attorney so they can look it over. Expect them to ask pointed questions, and answer then fully and honestly. You've got a lot of ground to cover in a very short period.
File a Motion to Continue Hearing on an Order Shortening Time. You should have a really good reason before you ask for a continuance. You might want to contact opposing counsel and see if she would stipulate to a continuation.
It sounds like you are looking to hire an attorney. You should do so as soon as you can and your attorney can determine whether or not a continuance is even necessary. If so, your attorney can either request that the other side stipulate to a continuance or file a Motion with the Court requesting a continuance.