Presbyopia occurs naturally as people who are around 40 years old, as the natural lens harden and muscle fibres becomes less flexible. As a result, you may feel that it is increasingly difficult to look at objects close to you.
Even if you have undergone LASIK before, it may still be possible for you to opt for presbyopia correction to reduce your dependency on glasses. However, the suitability for the correction would greatly depend on the remaining cornea thickness that you have left.
The most common strategy for presbyopia correction is the Monovision treatment, also known as the "Blended Vision treatment". In this case, your dominant eye will be corrected to see clearly for distance (objects far away from you), and your other, the non-dominant eye, will be corrected to see better for near vision (objects near to you). If the difference in both eyes' refractive powers are kept to 150 degrees or less, the "Blended Vision phenomenon" will occur as both eyes will complement each other to see both far & near at the same time.
If you would like to opt for presbyopia correction, you would have to bear in mind that presbyopia is a progressively dynamic condition, and that there are no treatments that can treat or cure the condition as of now. What doctors can offer are compromised solutions to the presbyopia problem to help you reduce your dependency on your glasses.