I'm not entirely sure what she means by "cut all ties" as she very publicly sent him a letter when he was in hospital 10 months ago. At the time the narrative was that she was keen to be in touch. IIRC she got the US Embassy to deliver it.
A spokesperson for the duchess said it "has been exceedingly difficult for the Duchess to contact her father privately, despite her efforts over the past several days".
But, the spokesperson added, Meghan's letter "is now safely in his hands" thanks to the support of "reliable and trusted contacts".
https://www.bbc.com/news/articles/cy47089ql14o