No, that sentence is not grammatically correct. Availability is a noun meaning how much of something is there to be used. You could say "What is the availability of this job?" or "Is this job available?" or "Is this job still open?"
You are too late to start this job.
I am reading the job description now.
"The promptness of delivery of your order is subject to availability in our warehouse."
You are unqualified to do that job.
Example sentence - His first job was in the retail industry.
the citizen applied for a job.
I decided to seek out a job.
I applied for a job this summer.
A: My mom is a crackerjack at her job.
I applied for a job this summer.
I wanted to inquire about the job. She stopped by to inquire about dog breeds. Libraries are good places to inquire about a multitude of topics.
He rang the hotel to see if there was any availability next weekend.