Upsize and up resolution - - possible?

I downloaded a border design which came in at just 32x30 dpi. Went to Bitmaps>Resample and changed size to 8"x10" resulting in a very grainy result. The pixels are everywhere. I set the Resolution at 300, but it didn't help. Do I understand correctly that if I upsize this download, I can't expect a sharp lines result? Is there a way to sharpen this project, or is there not enough pixels to give me the 8x10 inch size I need?  Thanks!

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