"A mucosa is moist tissue that lines some organs and body cavities (such as nose, mouth, lungs) and secretes mucous (a thick fluid)." No, your mucosa shouldn't bleed on palpatation. However, this can be a common complication associated with mucositis -- which is a common complication associated with chemo and radiation treatment. Make sure you are meticulouosly maintaining your oral hygiene and discuss if further with your health care professional.
-Brett