No. IRS does not track individuals via USCIS A# for H4. If you do not have ITIN number, you can be apply at the same time that you file tax return. It might be easy to file your tax and ITIN application with a tax accountant who is also a trained IRS Acceptance Agent. See this website to find Agents near where you live: https://www.irs.gov/Individuals/Acceptance-Agent-Program.