Contacts can distort the shape of the cornea, and the measurements used to program the laser for LASIK. It is generally recommended that soft contacts should be out at least a week, and with newer wavefront treatments which are higher resolution, even two weeks. Rigid gas permeable (RGP) and hard contacts should be out at least 3 weeks, and some practitioners advise one month for every 10 years of wear.
Contacts can not only change the preoperative measurements and hence the predictability of your surgery, they can also alter the shape of the cornea and make it unclear for your surgeon if your corneal is normal or not. Contact lens induced corneal warpage is a situation diagnosed on topography, or corneal mapping, and this condition can mimic a condition called inferior corneal steepening, or forme-fruste keratoconus. With these conditions, LASIK may pose increased risk, and a procedure such as PRK may be safer.
So, one day is usually not enough. It will increase your risk of needing a touchup, and, depending on your corneal topography, you may be getting LASIK when you ought to have PRK (unlikely but possible).
Hope this helps.