No, 35Cl and 37Cl have same valency. 35Cl and 37Cl are the isotopes. So, they have the same number of protons and electrons and have the same atomic number viz. 17. Hence, their electronic configuration and valencies are also the same.
Electronic configuration = 2, 8, 7
Valency 8 - 7 = 1
Therefore, both of them have valency = 1