Okay to go back and renegotiate?

I recently spoke with a recruiter from Spotify for a Analytics Manager position in Accounting/Finance. We had a very open conversation about salary expectation. I basically told the recruiter that although I have not done much research myself but I would like to get at least $160K. The recruiter mentioned that the budget for the position is $145K but she thinks $160K is attainable. However, after my performance review last week, I realized that my total compensation is at $160K in my current company. I have had couple of good interviews with the managers including the hiring manager. They openly discussed about their immediate need along with their interest in hiring me. I want to move to Spotify given that this doesn't become a lateral jump. If offered, I would like to ask for at least $180K for this role. Would it be professionally okay to go back, and ask for a reconsideration in the salary to the HR? How can I make my case competent given that I made a mistake calculating my current TC?