Welcome to the forum. That would depend on your state's licensing standards. It would seem that a felony "may" prohibit you seeking a childcare license in Illinois. You might want to review this document from 2015:
https://www.dhs.state.il.us/page.aspx?item=10592
c. Additional Convictions
In addition to any other provision of this Section, for applicants with access to confidential financial information or who submit documentation to support billing, no applicant whose initial application was considered after July 31, 2012 may receive a license from the Department or a child care facility licensed by the Department who has been convicted of committing or attempting to commit any of the following felony offenses:
financial institution fraud under Section 17-10.6 of the Criminal Code of 2012;
identity theft under Section 16-30 of the Criminal Code of 2012;
financial exploitation of an elderly person or a person with a disability under Section 17-56 of the Criminal Code of 2012;
computer tampering under Section 17-51 of the Criminal Code of 2012;
aggravated computer tampering under Section 17-52 of the Criminal Code of 2012;
computer fraud under Section 17-50 of the Criminal Code of 2012;
deceptive practices under Section 17-1 of the Criminal Code of 2012;
forgery under Section 17-3 of the Criminal Code of 2012;
State benefits fraud under Section 17-6 of the Criminal Code of 2012;
mail fraud and wire fraud under Section 17-24 of the Criminal Code of 2012;
theft under Section 16-1(1.1) through (11) of the Criminal Code of 2012. [225 ILCS 10.4.2(b-1.5)]