I don't think they have sent them yet.  They will have a lookup tool in mid April

https://www.irs.gov/coronavirus/economic-impact-payments

Most taxpayers have not yet received their Economic Impact Payment - the stimulus deposits have only recently begun being transmitted to a small number of taxpayers.  There is not yet a way to track the status of an individual payment. 

The IRS is currently building a tool that should be available soon to track the status of payments, and if necessary, provide updates for payment preferences. 

Please check the links below frequently for updates:

IRS Coronavirus Tax Relief

TurboTax Corona Virus Tax Center Updates

Safeguard your information.  Do not click on links in any e-mail sent to you asking for your bank information.  Go directly to IRS or US Treasury websites to provide this information.

I got my refund on wed and still no check. IRS portal is a joke. Will I still get my stimulus aromatically

I hate to necropost, but due to some issues it took me a while (Early may) to get all my information to the IRS. I got my tax return but I am still getting the same "Not available" error on the IRS site. Am I just going to have to sit and wait?

@Calebkopp

The IRS can look at your 2018 or 2019 return to issue a stimulus check.  If they do not have a 2018 return then you may be waiting for them to finish processing 2019 before they will be able to use it to issue your stimulus check.

If you used the non-filer site, you will not be able to e-file a 2019 return after using the non-filer site.

TurboTax has no control over your stimulus check, nor can TT track it for you or tell you when the IRS will issue it. Refer to the sites linked below:

You can call the IRS hotline at 1-800-919-9835 to get updates on your stimulus payment.  

https://www.irs.gov/coronavirus/economic-impact-payment-information-center#nonfilertool

https://www.irs.gov/coronavirus/get-my-payment-frequently-asked-questions

https://ttlc.intuit.com/community/tax-topics/help/how-will-the-stimulus-package-impact-me/00/1393859