Yes! Stellar collisions do happen naturally. For collisions to be likely, we need environments where stars are naturally close together - in general, the rate of collisions per unit volume is proportional to the square of the number density. Therefore, high-density star clusters are optimal; in globular clusters, we can have central densities of $\sim10^3$ stars per cubic parsec, roughly four orders of magnitude greater than the local stellar number density. This means that mergers should happen at a correspondingly astounding rate.
In globular clusters, we know of a population of stars known as blue stragglers. These are objects formed by the merger of two stars, which appear as stars that are massive and more luminous than the rest of the stars in the cluster. They should subsequently evolve much as one would expect stars of the appropriate mass and composition.
A triple merger, though, does present some problems, in that even in a globular cluster, it's unlikely that a merger product will undergo a second collision before evolving away. The expected time before a given star undergoes a close encounter is
$$\tau\sim10^{11}\left(\frac{n}{10^5\;\text{pc}^{-3}}\right)^{-1}\left(\frac{M}{M_{\odot}}\right)^{-1}\left(\frac{R}{R_{\odot}}\right)^{-1}\left(\frac{v}{10\;\text{km s}^{-1}}\right)\;\text{years}$$
where the factors of $M$ and $R$ arise because the cross-section of the star depends in part on its physical size and in part on gravitational focusing, the effect that increases the star's effective cross-section through its gravitational pull.
Let's say the two lowest mass stars merge. Even assuming no mass is lost in the collision, they should have a combined mass of $M\approx1.9M_{\odot}$; by applying the appropriate mass-radius homology relation, we can assume it has a radius of roughly $R\approx1.5M_{\odot}$. In a cluster, at the lower end, we might expect to see $v\sim10\;\text{km s}^{-1}$. Putting this together, we expect that it will take the merger remnant $\sim3\times10^{12}$ years before it collides with another star, assuming a number density $\sim10^3\;\text{pc}^{-3}$. By this point, it will have evolved far off the main sequence and become a white dwarf.
The same may be true if the collision happens in any other order, e.g. if the O-type star and the G-type star merge. Thanks to the greater mass and radius, the product will have a larger cross-section, but it will also live for much less time. The scenario could be saved if the number density at the core of the cluster is several orders of magnitude higher, though, which could very well be possible in some of the denser globular clusters.