You can limit the records showing in a linked field by prefilling its filter field with a unique ID to show the form users only their own records. To let users open a form that's automatically filtered specifically for them, you would need to use 2 features:
Prefill the filter fields. (the same way you would prefill a field on the form)
⚠️ When you try to filter linked fields, you should be prefilling the filter. Which should be a field other than the linked records field itself.