Yes, you can and he/she can be bonded(insured) for employment plus any employer who hires someone with a conviction can apply for tax credit
The bonding thing is done for people who have convictions so that when an employer hires him or her they are insured. So if this person with the conviction commits a crime at work the employer collects the bond. It don't cost nothing to be bonded it's free for the person with the conviction and the employer.
if you were "charged" with a felony with defered probation then you have a felony conviction on your record. your probably thinking that after you do restitution or whatever then the felony slate will be wiped clean as it was never there.