Yes. I'm not sure what happens to the trial if that happens.
I can only remember what happened with this monster who slit his wrists during his trial - I'm not saying we know that she has tried to harm herself but it does seem like a possibility with her history:
"The jurors who convicted Billingham were not told he had cut his wrists in his cell partway through his trial. Billingham underwent surgery after the apparent attempt to end his own life in the early hours of 21 September – a day after his trial was shown CCTV footage of Mylee in a shop on the night he killed her.
The defendant looked at the floor and covered his eyes with his hands as the two-minute video was shown to jurors on the third day of his trial. He then failed to appear in court until the following week, when jurors were told to disregard the bandages on his lower arms and were given no details of how he had come by his injuries.
In legal argument that could not be reported until the end of the trial, the defence barrister David Mason QC said seeing CCTV of Mylee had badly affected Billingham, who spent four days in hospital.
On the morning Billingham was admitted to the Queen Elizabeth hospital from HMP Birmingham, Mason told the court his client had experienced “some sort of breakdown” overnight, during which he was injured.
Billingham was eventually brought back to court on Tuesday 25 September, arriving in a taxi with a police escort as his wounds meant he could not be handcuffed or placed in a prison van.
After Billingham was assessed by a psychiatrist as being fit to instruct his legal team, the trial continued."
William Billingham guilty of murdering eight-year-old daughter
Edited to say he has since died in prison.