Kind of.
Stabs
are less powerful, but can have a higher fatality, due to their speed- you can get in and out, quickly. But, they do also cover a shorter distance.
Lunges are full-body, where as stabs use only your arms; so, they have much more power behind them, but also leave you open, due to the way that can be preformed.
Generally, you'll preform a one-handed lunge, with one hand on the blade, in order to allow yourself some time to react, as well as it requiring a different form to use it with two-hands. When you lunge with two hands, you're mainly adding a few inches more of reach, but you're putting yourself in a semi-unstable position, and a very open stance.
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This woman demonstrates a very good lunge in SPORT fencing. Being as this is battle training, our form is a bit different - your movement will be quicker, harsher, and you'll most likely flair your arm diagonally behind you to stabilize instead of diagonally behind you.
Give it a go, if you would.