The short answer is yes. Greenspan v. LADT, LLC (2010), 191 Cal.App.4th 486, 508 provides that:
“Under section 187, the trial court is authorized to amend a judgment to add additional judgment debtors…. As a general rule, ‘a court may amend its judgment at any time so that the judgment will properly designate the real defendants.’…. Judgments may be amended to add additional judgment debtors on the ground that a person or entity is the alter ego of the original judgment debtor…. ‘Amendment of a judgment to add an alter ego “is an equitable procedure based on the theory that the court is not amending the judgment to add a new defendant but is merely inserting the correct name of the real defendant…. ‘Such a procedure is an appropriate and complete method by which to bind new … defendants where it can be demonstrated that in their capacity as alter ego of the corporation they in fact had control of the previous litigation, and thus were virtually represented in the lawsuit.’ …” …’ ” (Hall, Goodhue, Haisley & Barker, Inc. v. Marconi Conf. Center Bd. (1996) 41 Cal.App.4th 1551, 1554–1555, 49 Cal.Rptr.2d 286, citations & fn. omitted; accord, NEC Electronics, Inc. v. Hurt (1989) 208 Cal.App.3d 772, 778, 256 Cal.Rptr. 441; Carr v. Barnabey’s Hotel Corp. (1994) 23 Cal.App.4th 14, 20–22, 28 Cal.Rptr.2d 127.) “The decision to grant an amendment in such circumstances lies in the sound discretion of the trial court. ‘The greatest liberality is to be encouraged in the allowance of such amendments in order to see that justice is done.’ ” (Carr v. Barnabey’s Hotel Corp., at p. 20, 28 Cal.Rptr.2d 127.)”