No, you can create your own digital currency in United States of America but in issuing tokens or coins your project has to pass a certain test so it won't be classified as a security. Once it can be evaluated as a security you need to pass strict requirements as mandated by the laws governing securities and this is why there are many US-based cryptos but not accepting investors or buyers from the US itself.
Now, if am living in the United States and I love introducing my own version of cryptocurrency, I would based my operation somewhere outside of the country by linking with like-minded people in creating a team (this can easily be done these days). There are so many choices and alternatives once there is a will and a vision to carry out the plans.