Yes, the Ohio case of neurosurgeon Sam Sheppard seems to make clear a retrial was permitted under similar circumstances. The appeal eventually made it to the U.S. Supreme Court as Sheppard v. Maxwell, 384 U.S. 333 (1966), which reversed and remanded the conviction.
The state of Ohio retried Sheppard; however, in the second trial, the state failed to achieve a conviction.
From the opinion:
1. The massive, pervasive, and prejudicial publicity attending petitioner's prosecution prevented him from receiving a fair trial
consistent with the Due Process Clause of the Fourteenth Amendment.
Pp. 384 U. S. 349-363.
(a) Though freedom of discussion should be given the widest range
compatible with the fair and orderly administration of justice, it
must not be allowed to divert a trial from its purpose of adjudicating
controversies according to legal procedures based on evidence received
only in open court. Pp. 384 U. S. 350-351.
(b) Identifiable prejudice to the accused need not be shown if, as in
Estes v. Texas, 381 U. S. 532, and even more so in this case, the
totality of the circumstances raises the probability of prejudice. Pp.
384 U.S. 352-355.
(c) The trial court failed to invoke procedures which would have
guaranteed petitioner a fair trial, such as adopting stricter rules
for use of the courtroom by newsmen as petitioner's counsel requested,
limiting their number, and more closely supervising their courtroom
conduct. The court should also have insulated the witnesses;
controlled the release of leads, information, and gossip to the press
by police officers, witnesses, and counsel; proscribed extrajudicial
statements by any lawyer, witness, party, or court official divulging
prejudicial matters, and requested the appropriate city and county
officials to regulate release of information by their employees. Pp.
384 U. S. 358-362.
2. The case is remanded to the District Court with instructions to release petitioner from custody unless he is tried again within a
reasonable time. P. 384 U. S. 363.
346 F.2d 707, reversed and remanded.