Can I have two interfaces on the same vlan (on one each chassis) advertise a path to the same network?
Yes, it will work fine.
You just create sn SVI for vlan 10 on both switches than give each SVI a unique IP address and configure the same virtual IP on both SVIs. Give one of the switches a higer priority, so you know what switch is the primary and which one is on stand-by.
Default priority for HSRP is 100, so make one side 120.