On studying the pictures representing the warping of space-time due to Black Holes, I realised the denser the black hole is the shorter its Event Horizon becomes, can we reach a point where we would increase the density to such a level that the Event Horizon would shorten into a point and hence a knot would form closing the Singularity of a Black Hole. Forgive me if this is dumb.
In classical general relativity, the Schwarzschild solution is always well-defined for any value of $M$, and by this, any value of the Schwarzschild radius. Hence there is no issue there, and the black hole simply becomes Minkowski space for $M = 0$.
For the Kerr black hole, the horizon will disappear before it is small enough to intersect with the ring singularity, leading to a naked singularity.
The possibility has been and is being investigated. Such a black hole would rather be described as having a naked singularity. That is, a black hole without an event horizon (I'm not sure whether a non-zero, but smaller-than-singularity event horizon makes sense). It is regarded as unlikely though, as it brings along a few issues and paradoxical situations. So, the short answer is no. You can delete event horizon from time and space (not definitely but possible still unlikely) but not the singularity. Whatever you do, singularity will be exist. Like @Slereah said, it would be a naked singularity. But you can not close it.