Here is the astrological chart for 365Coin. See interpretive notes below.

And yes, a chart can be made for any event, including something as abstract as the 'birth' of a virtual currency.
This is an intriguing chart with many advantageous placements. The Sun in Pisces has trines* on both sides: to Saturn, denoting stability and strength, a sense of maturity and seriousness. These are appealing traits in a realm where a new 'sillycoin' is launched almost daily. On the Sun's other side the trine is to Jupiter, a planet associated with expansiveness and luck. Trines in general are considered 'lucky' planetary aspects, as they reveal where energies combine well, without excess or blockage. This chart also contains the luckiest of aspect-patterns, the Grand Trine. It is made by Mercury (in Aquarius, the sign of its exaltation), the Moon conjunct the Mid-heaven, and Mars in the 2nd house of values and possessions. The pattern bodes well.
Important also is the Moon conjunct Midheaven** in Gemini component of the Grand Trine. It suggests prominence and fame, with a connectedness and appeal to the masses.
This has been only the briefest intro to the chart and there is certainly much more to say. In a future edit, I'll add some remarks on the other major aspect configuration present, the Grand Cross formed by Uranus, Jupiter and Pluto. For now, suffice it to say that there should be some episodes of powerful drama around this coin. For now, in sum, I see a powerhouse here in the making. Welcome to the world, 365Coin.
*trine: 120-degree relationship: balance, luck, flowing energy. Denoted by the blue lines.
**note that this and all house-cusp placements are based on New York City as the designated geographic place of reference. I chose NYC because it is the financial capital of the world, and because it is my own location, hence the location where the chart was cast.