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I'm sorry to hear about your situation. Unfortunately, no. This is called a "right to reinstate" the loan. There is a right to reinstate, but that's up to 5 days before the sale date. Civil Code Section 2924c(a)(1), creates a statutory right to reinstate defaulted real property, but again, the deadline is 5 days before the date of the sale. Within 5 days of the sale and after the sale, you can only get the property back through the right of redemption.
California has a complicated statutory right of redemption after the foreclosure sale has occurred, which would allow a party whose property has been foreclosed to reclaim that property by making payment in full of the sum of the unpaid loan plus costs one (1) year after foreclosure sale unless the original lender made a full price bid then that period is shortened to three (3) months. A borrower does have ninety (90) days after the recordation of a notice of default to cure any default and this is commonly referenced as the redemption period although it is not a true statutory redemption. Junior lien holders cannot redeem. There is no statutory right of redemption if a deficiency judgment is waived or prohibited at the time of which effectively negates any possibility of a redemption occurring in the scenario noted above.
I know this is probably not what you wanted to hear, but it is the law. I hope that clears things up anyway. If you have any other questions, please let me know. If not, and you have not yet, please rate my answer AND press the "submit" button, if applicable. Please note that I don't get any credit for the time and effort that I spent on this answer unless and until you rate it positively (good or better). Thank you, ***** ***** luck to you!