Former President Donald Trump can still be elected president -- even if he is convicted -- experts tell ABC News. But there are practical reasons that could make it a challenge, experts say.

Trump said recently at the annual Conservative Political Action Conference that he would "absolutely" stay in the race for president even if he were to be criminally indicted.

Trump has denied wrongdoing and has characterized the probe as part of a "witch hunt" against him.

The U.S. Constitution does not list the absence of a criminal record as a qualification for the presidency.

Constitutional experts also told ABC News that previous Supreme Court rulings hold that Congress cannot add qualifications to the office of the president. In addition, a state cannot prohibit indicted or convicted felons from running for federal office.

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-ABC News' Laura Romero

Former President Donald Trump told ABC News over the phone that the indictment is "an attack on our country."

He called it a "political persecution," adding, "They are trying to impact an election."

Trump in a statement Thursday called himself a "completely innocent person" facing "an act of blatant Election Interference."

Trump said, "Our Movement, and our Party - united and strong - will first defeat [Manhattan District Attorney] Alvin Bragg, and then we will defeat Joe Biden, and we are going to throw every last one of these Crooked Democrats out of office so we can MAKE AMERICA GREAT AGAIN!”

Trump's attorneys said in a statement Thursday, "He did not commit any crime. We will vigorously fight this political prosecution in Court."

Trump's son, Donald Trump Jr., said on his podcast Thursday, "This is weaponized justice at its worst."

Stormy Daniels' lawyer, Clark Brewster, issued a statement on the indictment, saying: "The indictment of Donald Trump is no cause for joy. The hard work and conscientiousness of the grand jurors must be respected. Now let truth and justice prevail. No one is above the law."

While the indictment remains under seal, Trump had been under investigation by the Manhattan district attorney over a $130,000 payment he made to the adult film actress to keep her from going public with a claim of an affair, which he denies.

Donald Trump being formally accused of a crime could change the outlook for the still-forming field of Republican presidential candidates in 2024 -- either rallying primary voters primed by his talk of the "deep state" and "retribution" or opening up an unprecedented line of criticism for Trump's rivals.

The indictment itself isn't disqualifying, legally speaking. The U.S. Constitution doesn't prevent people under indictment or criminal investigation from running for the White House, experts have told ABC News, so the former president could still be reelected despite the indictment -- and would still be eligible even if it leads to a conviction, regardless of practical obstacles like potential incarceration.

Manhattan District Attorney Alvin Bragg on Friday again resisted the House GOP investigation of his office’s prosecution of Trump.

Bragg’s legal counsel called the inquiry “illegitimate incursion” into a legitimate investigation.

The House Republicans -- Reps. Jim Jordan, James Comer and Bryan Steil -- have said they want to find evidence of federal funds used to investigate Trump. But Bragg’s office said they were merely doing Trump’s bidding.

“Finally, as you are no doubt aware, former President Trump has directed harsh invective against District Attorney Bragg and threatened on social media that his arrest or indictment in New York may unleash 'death & destruction.' As Committee Chairmen, you could use the stature of your office to denounce these attacks and urge respect for the fairness of our justice system and for the work of the impartial grand jury," counsel Leslie Dubeck wrote in a letter to the lawmakers.

"Instead, you and many of your colleagues have chosen to collaborate with Mr. Trump’s efforts to vilify and denigrate the integrity of elected state prosecutors and trial judges and made unfounded allegations that the Office’s investigation, conducted via an independent grand jury of average citizens serving New York State, is politically motivated.”