Yes, you can claim rebate against income from lottery winnings as the Section 87A of the Income tax Act,1961 uses the word "total income" which includes all types of income and from all sources.
By the way chapter VIa deductions are not allowed in this case from "lottery income" for calculating the total income as per threshold limit.
Rebate us 87A is available against all income except long term capital gains. Hence the law doesn't prohibited that rebate us 87A is not allowed against lottery income. first Assessee have to calculate the total tax Liabilities after considering the rebate us 87A and then he have to adjust the TDS on lottery income . Normally it is seen that person who claim the rebate us 87A and simultaneously he have lottery income, this case become the refund if tax