I doubt they can and anything eliminating the FDIC would for sure throw the USA into a deep recession that would likely develop into a depression that would last at least until Trump is either dead or in hospice. It would be deeply unpopular. The FDIC is more sacrosanct than SS or Medicare.
To date AFAIK there has never been a failure of an FDIC insured financial institution that wasn't backed up by the FDIC to the extent of the limits.
The
Federal Deposit Insurance Corporation (
FDIC) is a
United States government corporation supplying
deposit insurance to depositors in American
commercial banks and
savings banks.
[8]: 15 The FDIC was created by the
Banking Act of 1933, enacted during the
Great Depression to restore trust in the American banking system. More than one-third of banks failed in the years before the FDIC's creation, and
bank runs were common.
[8]: 15
[9] The insurance limit was initially US$2,500 per ownership category, and this has been increased several times over the years. Since the enactment of the
Dodd–Frank Wall Street Reform and Consumer Protection Act in 2010, the FDIC insures deposits in member banks up to $250,000 per ownership category.
[10] FDIC insurance is backed by the full faith and credit of the
government of the United States, and according to the FDIC, "since its start in 1933 no depositor has ever lost a penny of FDIC-insured funds".
[11][12]