Is it "normal" to not be able at all and with practice to do it ?
Yes, this is exactly how it works. There is not a single musician on the planet that started out being able to play their instrument immediately. Everyone starts out terrible and then gets better with practice and time.
Through repetition your body will start to develop muscle memory and this will allow you to be able to play without having to consciously think about it. It literally becomes automatic.
From Wikipedia: https://en.wikipedia.org/wiki/Muscle_memory
Muscle memory has been used synonymously with motor learning, which is
a form of procedural memory that involves consolidating a specific
motor task into memory through repetition. When a movement is repeated
over time, a long-term muscle memory is created for that task,
eventually allowing it to be performed without conscious effort. This
process decreases the need for attention and creates maximum
efficiency within the motor and memory systems. Examples of muscle
memory are found in many everyday activities that become automatic and
improve with practice, such as riding a bicycle, typing on a keyboard,
typing in a PIN, playing a musical instrument, poker, martial arts or
This is why experienced musicians can play their instruments and make it look so easy and effortless. They have developed this muscle memory to the point that it IS easy and effortless. With enough time and practice you will get to this point also. This is simply how our bodies work. Think of all the things you can already do without having to focus on them like walking, writing, riding a bike, throwing a ball, etc. these are all things you have developed muscle memory for and you can easily do them with without thought. Your drumming will eventually get to this point as well.
Here is the most important thing, when first learning something new make sure to practice very slowly and with proper technique because while developing muscle memory you want your body to learn the motions correctly. Have patience and resist the urge to try to play fast right away. Trying to play too fast too soon will only teach your body how to do it wrong which will end up reducing your overall speed, making you sound sloppy, and could even cause physical injuries such as tendonitis. Practice slowly and give your body plenty of time to learn how to do the motions while staying very relaxed. Speed will come with time and then you will be able to play faster, have better control, play with better feel, and you will protect your body from injuries.
One final point, make sure you are practicing consistently every day. You are better off practicing a few minutes every day (if you have limited time to practice) than practicing a lot all in one day and then taking the rest of the week off. Muscle memory will develop much faster through consistent reinforcement. Having long extended breaks in between practicing will cause you to loose a lot of the muscle memory you had developed before and it'll almost be like starting over each time you sit down to practice.
Practice slow, practice consistently, have patience and you will absolutely succeed. :)