Well, if you don't mind making a pact with some powerful entity, you could get 2 levels of warlock. This will give you access to a few spells, some of which perhaps being interesting (both stats and flavor-wise) for your character. But most of all, this will give you access to 2 invocations.
One of these invocations should be Devil's Sight, which grants you the ability to see through any form of darkness, magical or otherwise, for up to 120 feet. This is more than enough to cover the 15 feet of the darkness spell. Cast it on your clothes, and bring terror to your enemies.
While this is a good strategy (generally favored by blade pact warlocks), it has some limitations. While under the effect of the darkness spell, your allies cannot see you. As such, any spell requiring line of sight that they would like to cast on you simply cannot work. Healing you might be problematic, as it requires your allies to be able to touch you. They might know that you are smack in the middle of that sphere of pure black darkness but, once they get inside, it's suddenly not so easy to find you anymore.
These limitations also affect your enemies, however. Any attack from the outside of the sphere should have disadvantage as your enemies, even if they can approximate your position, can't exactly see you to aim properly. Enemies inside the darkness should also suffer from disadvantage when attacking you, unless they possess some form of blindsight or a similar ability. When you attack them, you should have advantage on the roll since you are functionally invisible for them.
The biggest cost of this strategy is the fact that it requires multi-classing. While the lvl 19 and 20 abilities for monk would not really be missed (realistically, few campaigns will reach these levels), it will still set you back 2 levels in obtaining you other core monk powers. Note that doing this would get you 2 invocations, however, and that some of them can be quite interesting for a ninja-esque character:
Armor of Shadows (cast mage armor at will, which might be better than
using your wisdom for AC if its under 16),
Eldritch Sight (cast detect magic at will),
- Eyes of the Runekeeper (allows you to read anything, even languages
you don't know... useful for spying!),
- Gaze of Two Minds (share the eyes of a willing target, more spying!),
- Mask of Many Faces (disguise self at will!), etc...
TL;DR
Sacrifice 2 monk levels and multiclass as a warlock. Gain some minor but potentially useful spellcasting, as well as the ability to see through magical darkness and one more ability of your choice!
Cast it on a dart or javelin and throw the missile into the foe and hope it sticks. Cast it on a lasso or net and entangle the foe. Cast it on something tacky, like an unlit pitch torch, and throw it on the floor where the monster will tread in it.
Working out how to target your foe while you are in the middle of magical darkness is, of course, your problem. :-)
Best Answer
Short answer: Kind of
You can if:
Long answer
The Rules as Written are silent on this exact point, but there are two main rules of relevance here.
Object interactions
The rules for object interactions on PHB 190 are the most obvious ones to apply here - ultimately you are interacting with the coin.
Although this rule is not completely explicit about what "interacting with one object" means, several of the examples given on the same page suggest that this interaction is a one way-process. The clearest examples of this are:
Furthermore the example of:
is pretty close to what you are talking about here, and is a one-way process.
So, as far as object interaction rules go, you could either cover or uncover the coin for free, but you would have to use your action to do both on one turn.
"Completely covering"
As the Darkness spell description says:
So your DM will have to rule if simply enclosing a coin in your hand does the trick. The idea of darkness in D&D is so contrary to physics, that this is a tough one to rule, but your DM might rule that some of the darkness seeps through the gaps between your fingers, your hand is not sufficiently opaque etc.
So...
If your DM decides enclosing the coin in your hand constitutes "completely covering" and
If you have an extra action to use on both closing and opening your hand (eg from a class feature)
then you can go with your creative plan. Otherwise you might have to modify it a bit: use your only action but benefit the party, find a more 'darkproof' container etc.