Is there a way to transition my adobe portfolio website to a new account?

If the company account is owned by your employer, Adobe's obligation is to the employer, not you.  All work on company account is owned by the firm that pays Adobe.  Keep your personal and work accounts separate. 

I suspect you are going to have to talk to a CSR. 

I have a similar issue in that I have both a personal ID and a work ID for Adobe. I log in to the forums using the work ID since I'm normally on the forums while at work and that has to be the active login if I also want to be able to do my job.

If/when I leave this job, I'm told Adobe can merge the accounts so that I don't "lose" the posts I've made in the forums under the work ID. More than likely they can do something similar for you. Let us know if you need information on how to contact Adobe support.

Portfolio help may be obtained at the links below
https://help.myportfolio.com/hc/en-us
https://portfolio.adobe.com/