If your unit is presently a 24" then the cabinet will need to have the hole widened to accomodate the 27" model. This means that you will need an additional 1 1/2" of cabinet that you can trim off of each side of the hole. As long as there is that much wood left before you run into the piece on the side then you can do this.
You will also want to check if the unit needs any additinal clearences per the manufacturers requirements. Some do require that there be additional clearence along the sides of the unit.
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If you could tell me the model number and make of the unit you are interested in installing I can see if I can locate the information you need.
Thank you for the accept.
Let me ask you this.
Do you know how much room there is on either side of the cabinet that you can remove? If you have a minimum of 4" on either side this should be enough clearance for most all of todays new units.
On average you only need about 2-3 inches of air circulation around the units insulating layer. The insulating layer is right below the hole size required to install the unit.
I hope this helps. If you need further information please do not hesitate to post it here.
If you find a model that catches your eye just post the make and model number and Ill check it out for you.
Personally I recommend staying away from the fancy digital models. Circuit boards and heat were never ment to be together. This is very evident by all the failure and trouble code questions we get here about them.