Im not aware of any rule saying you can't so it's up to the discretion of the employer. After 10 years in most states you don't need to disclose this.
To be a practicing solicitor, however, they look mostly at whether the offence involves dishonesty, and how long ago it occurred. But what is dishonesty? There are practising lawyers with drink driving records, and drink driving involves an element of dishonesty, in fact most crimes do. Also, no one is perfect and everyone has lied.