Well worth the read.
You can, but not as a minor. Nor can your parents sign away your citizenship on your behalf. You have appear in front of a US consular officer as an adult and swear that you intend to renounce your citizenship.
Yes, from the Obama Timeline:
After returning to Hawaii and upon turning age 18, Obama could possibly have given up his Indonesian citizenship and become a naturalized U.S. citizen, with the proper paperwork filed through the U.S. State Department and by swearing an oath of allegiance to the United States. It is believed that Obama did not do so. [258,300,301]
If Obama did not relinquish his Indonesian citizenship and become a naturalized U.S. citizen, he remains an Indonesian citizen, and has not been a U.S. citizen since moving to Indonesia in 1966 or 1967. Thus, he is ineligible to be President of the United States. (He is also ineligible to be a United States Senator.) Obamas repeated failure to provide documentation to prove he is a U.S. citizen suggests it does not exist, and he is therefore possibly perpetrating a colossal fraud on the 300 million citizens of the United States. Obama may, in fact, be an illegal resident alien, subject to expulsion from the United States Senate, arrest, and deportation to Indonesia. [258,300]
“Yes, you can lose US citizenship.”
How?
Please explain and source.