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[The_Almighty_Bacon_Lord]

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[michaeliv]

Converter: http://www.ebay.ca/itm/-/281291753628 Or find a similar, more powerful one.
As for if you can drain that much without damaging it it depends on the battery. You need to draw ~3A from it, it should be fine with most cells. Every battery comes with a 'C' rating, Multiply capacity by C to get max current draw. Ex 2200mah * 1.5C = 3.3A max draw.

[michaeliv]

Oulps, you actually want a complete USB charger module that would both charge the LI-ion when supplied with 5v and output 5v when working on batteries ?
The link I provided only does the latter half ( it outputs 5v when supplied with input voltage from the battery ).
Simply connect the battery to the input, adjust the potentiometer so the output shows 5v, and proceed to draw 2A @ 5v.

If you want a complete solution the cheapest way to go is to re-use the internals from this (It claims to output 2A) :
http://www.ebay.ca/itm/-/331643918661
http://www.ebay.ca/itm/-/401045504413

[michaeliv]

I assume that "LiPo" is a typo since I haven't seen a 18650 LiPo cell, only LiIon.
You can use the first link too, even though it uses 4 batteries they are wired in parallel so it's the same as 1 single cell.