It is possible for users to whitelist our service via IP in their Binance accounts.
Binance:
176.34.73.109 34.246.16.95 34.247.242.65 34.254.42.223 34.255.189.190 34.255.72.2 52.16.137.3 52.208.131.10 52.31.218.187 54.155.37.250 54.247.192.238 63.34.179.89
Make sure to add all above IP addresses, not just 1 or 2.
See also the detailed instructions on how to generate an API key and secret for Binance here.