The sentence 'without your support' is correct and usable in written English. You can use it to express a lack of assistance or encouragement. For example: "I would not have been able to get through the tough times without your support."
We couldn't have done it without your support!
I, and we as a team, could not have achieved those moments without your support.
But without your support, it could be banned in a matter of weeks".
All that I have accomplished this season would not have been possible without your support.
"Without your support in the siting of facilities, any plan becomes meaningless," the Mayor added.
And we'd like to say thank you – without your support, this would not be possible!
We cannot reach vulnerable people, especially those in non-governmental controlled areas, without your funding and support".
Use this to allow your feelings to be processed without overwhelming your support system.
We could never have implemented the disengagement plan without your firm support.
Of course, you're going to experience ups and downs, you're entering into a new environment without your usual support team.
It's been an incredible journey that wouldn't have been possible without your loyal support.
Ludwig does not simply clarify my doubts with English writing, it enlightens my writing with new possibilities
Simone Ivan Conte
Software Engineer at Adobe, UK