it is not an ideal food fo baby corn snakes, but I have had luck in getting reluctant eaters to take live crickets. I had one that would only eat mealworms fo the first two months, so honestly when they are small, it's trial and error. If you find that it will indeed eat crickets, go get the calcium/vitamin powder to coat the crickets with before feeding. Also, I completely agree with turtlebarb. Most snakes can easily go a month without eating. You want to look for their body condition, more than their eating frequency. if the spine is prominent (looks like a triangle, rather than slightly rounded) then you may want to invest in syringe feeding mediums. There are different formulas/brands, etc, but mostly they are egg-based powders that you mix with water and then GENTLY feed with a syringe. I have had to do this for infant anoles, and an aging iguana.
If you don't have a hiding place or under tank heater, a few options you can do for an emergency is to put a plastic cup on its side for your buddy to hide inside and behind, and take a sock, fill it with uncooked rice, tie it shut, and microwave for 1 minute. You CAN microwave longer, but if it's too hot for you to handle, it's too hot for the snake. you can use the rice-sock as a temporary heater about a half hour before feeding attmepts to warm him up. Do not handle the snake for 24 hours prior to feeding, as this can cause stress.
I've had about every type of non-venomous herp out there at one point or another, but my biggest challenge has been my current buddy, Sgt Slithers, a ball python that will NOT eat anything but live mice. You've got to figure out what your buddy eats, and then work from there, but don't panic. not eating isn't serious unless body condition starts to deteriorate. Best of luck!