I very small study in Germany did this, but not based on an mpMRI and biomarkers.
https://www.renalandurologynews.com/news/urology/prostate-cancer/prostate-cancer-surgery-without-prior-biopsy-possible-treatment/
“In a study of 25 men with a high suspicion for significant prostate cancer based on imaging with multiparametric magnetic resonance imaging (mpMRI) of the prostate and prostate-specific membrane antigen positron emission tomography (PSMA-PET), all patients had Grade Group 2 or higher prostate cancer on postoperative pathology.”

HOWEVER:

“Dr Leapman, who is clinical program leader of the Prostate & Urologic Cancers Program at the Yale Cancer Center, said he interprets the findings with caution “as the consequences of exposing even 1 patient without cancer to prostatectomy is substantial, regardless of how they are counseled. Moreover, widespread use of PSMA-PET and prostate MRI raises questions about long-term cost effectiveness and sustainability.”

I seriously doubt any physician in the US would be willing to treat without having a biopsy confirming the presence of prostate cancer.

My guess is that most physicians would not even order a PSMA-PET scan without a confirmatory biopsy already indicating the presence of prostate cancer and insurance would almost certainly not cover the costs of the PSMA-PET.

If your PSA and mpMRI are suggestive of the presence of prostate cancer, then a biopsy is your next step, as “technically” you have not been diagnosed with prostate cancer until a biopsy confirms that diagnosis.