atom can be synthesise
Answers
Yes. Atoms can be made through radioactive decay, fusion (joining two atoms into one larger one), and fission (splitting one atom into two lighter ones).
There are some easy ways and some very hard ways to do this.
The easiest way is through radioactive decay. Atoms of many large elements will naturally decay over time into different atoms. These patterns of decay are called decay chains. You likely already have an example of this in your home. Most smoke detectors use small samples of Americium-241 that decays into Neptunium as part of the smoke sensor.
For fun, you can measure the radioactive decay of some different of materials at home with a Geiger counter. Here is a search link for some of those materials.
Ebay search for "tritium keychain","uranium glass","lantern mantle","Static Master Brush","thoriated tungsten electrode","pitchblende", and "uraninite"
High power particle accelerators can make new atoms by smashing smaller atoms together at high speed. The GSI Helmholtz Centre for Heavy Ion Research in Germany has created/discovered several new atoms this way including Meitnerium, Hassium, Darmstadtium, Roentgenium, and Bohrium. Their most recent creation is Copernicium. It was created by firing Zinc into a Lead target.
The next two ways to make atoms involve smashing Neutrons into atoms. A neutron is a neutral particle that normally lives inside an atom's nucleus. If a neutron comes close to an atom's nucleus and is moving fast it can be trapped in nucleus. This is called Neutron Capture and it makes a new atom. These new atoms are very often unstable and will decay into new 2 or 3 new atoms.