At the moment, the option to change your profile picture is not available. However, you can import your profile picture from other connected accounts.
If you want to use your Facebook profile picture in JioSaavn, simply connect your Facebook account and import your profile picture via settings > Edit Profile > Import from Facebook.
Alternatively, if you have a profile picture on your Google account and you log in with your email ID, your Google account's profile picture will automatically be displayed on your JioSaavn account.