Yes, «плащ» can be used in this sentence. Please use the Report button next time you get it.
In literary Ukrainian, пальто is a long item of clothing that has sleeves:
«Плащ» can be a synonym for «пальто», or it can mean 'an overcoat'. It has both these meanings in literary Ukrainian.
'Fur stole' is «хутряна́ горже́тка».
The usage might vary in different dialects. This course teaches literary Ukrainian.