[codefox1]

If they are tears, yes, it can be sewn shut and sealed with a drop of fabric glue on back.
Holes require some donor material maybe from edges or behind molding, but in that case color will be off. An extremely talented seamstress might be able to darn the holes like a sock with threads you harvest create with dyed thread to match what you have or can scrounge up. Not for these old eyes and hands any more, but I've seen it done to my utter amazement.