Nothing is wrong with it, and for the following reasons...
The use of 'no one' is correct.
Isn't it also that "nobody" is more often referring to a group?
And "no one" an individual?
'Nobody knew where she had been.'
'No one answered when he asked where she was.
'can' is the better verb. It indicates in the present situation and fits
with the more specific 'the job' verses the vaguer ' a job'.
'could' (the past tense of 'can') works better with 'a job'.
So two possible sticking points here, 'no one' vs 'nobody'; and 'can'
vs 'could' have been explored. We use "definite" to mean sure, certain. "Definite" is particular. Finally 'the' verses 'a' articles in this
sentence which is remarking about a definite job, so 'the' is also
the proper grammar.
'the' vs 'a' ....
We use "indefinite" to mean not sure, not certain. "Indefinite" is general.
When we are talking about one thing in particular, we use the. When we are talking about one thing in general, we use a or an.
Think of the sky at night. In the sky we see 1 moon and millions of stars. So normally we would say:
"I saw the moon last night."
"I saw a star last night."