The phrase "without using any" is correct and can be used in written English.
It implies that something is being done without using any resources. For example, "I completed the project without using any outside help."
Synthesis of BCP followed without using any surfactants and precursors.
This was done without using any hand-coded rules.
And we could do it all without using any government subsidies or bailout money.
It's sort of an agitprop act without using any of the actual vocabulary of politics.
They were enough to send me on my way without using any extra oxygen.
I was offering to build an arena without using any taxpayer money.
This allows you to get good results without using any assembly language.
It can also handle relatively small data sets without using any augmentation or fine-tuning techniques.
The results predict reasonably well observed experimental data without using any adjustable parameters.
In this study, we investigated the preparation of nifedipine (NI) nanoparticles without using any organic solvent.
The ISPD PLL demodulator without using any filters was used to cover the UMTS/IMT2000.
