You didn't say how much current you need. If your current requirement is within what this board can provide, it "should work" if the board works as designed. But there is one issue there. Quoting from their item description:
"...If you turn it to HOLD, it will remain on regardless of the situation until the battery is empty (the 2512 resistor on the back will heat up)." (Bold added and I eliminated their typo with "s i tuation")
That statement (bold part) implies the board doesn't have over-discharge protection -- implies only, it didn't say if the board has over-discharge protection or not. If over-discharge protection is indeed missing, issue is the battery will be damaged when over-discharged. One light discharge (below 2.6V but not near 0V) and quickly recharged wont hurt too much, do it often or do a deep discharge, your battery is pretty much toasted.
You may be better off getting a power bank. If you don't need 5V, you could get a protected battery and a proper recharger. If you do need 5V, you need to equip your protected battery with a boost/buck board.