Can we open a gmail account with out recovery mail

I see what you're getting at!

Unfortunately, it's not possible to create a Gmail account without a recovery email address. When you sign up for a Gmail account, you're required to provide a recovery email address, also known as an "alternate email address" or "recovery email". This is a security measure to help you recover your account if you forget your password or lose access to your primary email address.

When you create a Gmail account, you're asked to provide a recovery email address, which is used to send you a verification email to confirm your account creation. This email address is also used to send you a password reset link if you forget your password.

If you don't have a recovery email address, you won't be able to create a Gmail account. This is because Google requires a valid email address to send you important account-related emails, such as password reset links and account security notifications.

However, if you're concerned about your email security, you can consider using a disposable email address or a temporary email address service, which can be used as a recovery email address. These services provide a temporary email address that can be used for a short period of time and then discarded.

Alternatively, you can use a password manager to generate and store strong, unique passwords for your Gmail account and other online accounts. This way, you won't need to worry about recovering your password if you forget it.