Can I use Jotform in conjunction with Squarespace?

I need for my clients page to be able to upload files like resumes. am i in the right place? 

I checked the URL you included on your post http://www.cudeengineers.com/applyonline and the form on that page doesn't appear to be JotForm.

If what you're aiming to do is allow your users/respondents to upload files through a form, then JotForm has that option. And this will work regardless of how your website was built (whether it's powered by Squarespace, Wordpress, etc.)

Here's a short but detailed guide on how to embed a form in Squarespace: Adding-a-form-to-Squarespace 

And here's a general guide on how to use the Upload Field: How-to-Create-Upload-Forms 

In case you have followup questions, don't hesitate to ask :)