With this exact deck unupped, I suspect that it is not possible. However, by changing that Longsword to a Hammer, going second and assuming your opponent does not hinder you in the slightest, it is possible to inflict exactly 100 damage with this set up:
Hand: 1 Graboid, 1 Hammer, 1 Photon, 1 Phoenix, 1 Immolation, 1 Lycanthrope, 2 Nova.
Turn 1: Play Photon, Immolate it. Play 2 Nova. Play Phoenix, Graboid, Hammer, and Lycan (Hammer absorbs 2
). 12 damage inflicted, 88HP Remaining.
Turn 2: Draw Forest Spirit. Play Forest Spirit. Evolve Graboid, activate Lycan's ability. 26 Damage inflicted, 62HP remaining.
Turn 3: Draw Photon. Play Photon. Grow Forest Spirit. 29 Damage inflicted, 33 HP remaining.
Turn 4: Draw Graboid (
Mark comes in handy here). Play Graboid. Grow Forest Spirit. 33 Damage inflicted, 0HP remaining.
Despite that setup, I have yet to encounter an unupped deck during testing that can pull off a 4 turn win, so your deck may as well be the closest way to do it with realistic consistency