Apply. It is not so much like getting into college, you don't need to be Class President. You need to have good grades and no disciplinary issues while enlisted. You would be surprised though how many guys don't apply because they either don't know how or they figure out it is a long and tedious process. You will not be "offered" OCS - it will just be an option. The Navy, especially the fleet Navy, does not hand hold guys through the officer selection process, they let the individual do about 99% of the work as the first weeding out process.
As I have in all my posts, let me re-iterate, you could finish #1 in your class and being the greatest nuke in the world, but if the needs of the Navy don't line up, then you may not get an OCS slot regardless. The number of billets they have available for OCS is dependent upon how many officers they need in the community. Those other officers are coming from NUPOC, USNA, or ROTC. Just some food for thought. Hope that helps.