Is it possible to export a simple Numbers spreadsheet while being dynamic? I have a few Numbers Spreadsheet that I use to keep track of my budget over the weeks/months but its only accessible in Numbers, which is fine Until I am at work where we use windows. 

My only recourse there is my old iPhone runs Numbers slowly. I feel my phone works with PDF quickly.

Is it possible to export spreadsheet as a PDF document and still retain the automatic calculations of the spreadsheet and not just be a standard table?
No, PDF exports of a numbers file become static and can no longer be edited as a spreadsheet. You must use the Numbers program (or an equivalent like Excel) to achieve the dynamic features of spreadsheets.