No, your Federal and state refunds do not come together. They come from two completely separate entities.
To track your Federal refund:
https://www.irs.gov/refunds
To track your state refund:
https://ttlc.intuit.com/questions/1899433
On the IRS site you are also offered the use of an app called IRS2Go
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**