Is it useless to look for job in April for college graduate?

So long story short I had some major health problems and couldn't really participate in job hunting very well, my school said they won't give recommendation letter for job hunting visa but I asked them if they are able to reconsider but still no answer, my student visa ends in May and I'm wondering if there are still a chance to find a job or well is it completely hopeless for me now.
Thanks in advance.

by No_Preparation_9718