Yes accumulation of mutation can drive aging process.
Step-by-step explanation:
The molecular damage that occurs in cells and tissues for a long time due to DNA damage and epigenetic changes gets accumulated in the cell.
This leads to lowering of the homeostasis in the cell during stress conditions and eventually risks of life-threatening diseases as cancers or neurodegenerative disorders develop.
Due to mutation in the gene DNA repair mechanism also gets affected this also contributes to the ageing of cells.
The telomere of the chromosome is shortened after every mitotic division but telomerase enzyme keeps adding the DNA sequence preventing shortening aging and death of the cell. If the mutation occurs in this enzyme it will increase the ageing of cells at high rate.