Is there any other way of communicating with each other without the use of languages? If so, how would we communicate?

sure , you can communicate with others by body language , eye contact , emotions and so on

also you can communicate by drawing as Pharaohs in the past .

Most of the communications that happens between people is done without the use of language. Our body language, our facial expressions, our actions, the tone of our voice, our role in society, and other contextual clues play a larger role in communication than language. The words or phrase that are spoken to one person may be interpreted differently by another person if the tone of voice, body language, eye movements, and relationship between the people communicating is different from one instance to another. In reaching out to people, it is critical to understand that these non-verbal cues make up the majority of the communication we engage in and that language only plays one part in that.

There are numerous other ways. Some of them are Semaphore flags, morse code communication, sign language, communication using Projector lights (blinking) etc., 

As an electrical engineering student, I guess that there are electronics ways to communicate such as signals  - communication in the space stations as an exemple -, also in IT computer there's communications between devices.

we can communicate with others without words through body language and eye contact 

Love is the best answer for this question, But of course language is very important to communicate with other people if its in business or other things, but there are many other ways to communicate like eyes, body language, attitude, and much more . So everything is important here to make people understand you before you talk.  

There are many ways of communication. For example written,non verbal etc.

You can use the body languages or by using appropriate demonstrations that are widely used among people.  You must also consider that people have different cultures and understanding these gestures are very important in a professional environment.  

 using their hands or face , head expressions , eyes

Nonverbal communication is used other than communication involving facial expressions and body language. Body language includes posture and gestures.  Even when we use words, it's not just the words we say that matter- it's the tone of our voice too.

Yes! there is always a way of communicating without the use of languages and that is through our actions.