Multiple choice with a text input for all ticked boxes

Is it possible to have a multiple choice, and have a short text input for all ticked options?

Do you want to show all selected options from the Multiple choice fields inside of the Short Text Entry field? If so, you can use conditional logic to pass the data from one field to another. 

How to Pass Field Value to Another Field?

Here is a demo form: https://form.jotform.com/80660967517971

Feel free to test it and clone it. 

If I did not understand your question correctly, please explain in more details what are you trying to achieve and provide us a link of a form you are working on. 

I was hoping to have a multiple choice section, and then for each ticked box a number entry (or a text entry) for the user to enter a value corresponding to that ticked box.

For example

for each ticked box, i would like the user to be able to enter a number of hours corresponding to that engineering discipline. Ideally the entry space would appear alongside each ticked box for clarity

To achieve that you will have to add multiple number fields to your form, one for each checkbox option and then potion those fields next to check box options. 

How to Position Fields in JotForm

You will also have to use CSS to position the fields. 

How to Inject Custom CSS Codes

You can also create a separate checkbox field for each of the options and enable the Other option for all fields. 

Another possible solution is to two separate Input Table fields, one with check boxes and one with Number field and to position them in the same row.