No. If you didn't specify LIFO on account or sell by specifying the shares you wish sold, then the brokers method applies. 

From [Publication 551][1]

> Identifying stock or bonds sold.   If you can adequately identify the
> shares of stock or the bonds you sold, their basis is the cost or
> other basis of the particular shares of stock or bonds. If you buy and
> sell securities at various times in varying quantities and you cannot
> adequately identify the shares you sell, the basis of the securities
> you sell is the basis of the securities you acquired first. For more
> information about identifying securities you sell, see Stocks and
> Bonds under Basis of Investment Property in chapter 4 of Pub. 550.

The trick is to identify the stock lot prior to sale. 


  [1]: https://www.irs.gov/publications/p551/ar02.html#en_US_201612_publink1000256905