No, new tax regime does not allows deduction for donations under section 80G, but there are some other ways to save tax for salaried individuals:
1)Contribution made by employer on behalf of employee in NPS and PF,
2) Reimbursement by employer for your fuel, phone, travel expenses,etc
#But even if you are "non salaried" individual you can claim deduction of:
Interest paid on home loan for property in which you yourself is not residing but provided it on rent as let out property