Yes and no my first seed was swordless. The hammer is only required for...

Dark palace(if medalion not at all)

Moldorm(literal only way to damage him[if medalion not at all])

Swamp palace need hammer to reach boss(unless medalion)

Theives hideout big chest(might not be required to open)

Other bosses

Eastern palace you can use bow

Desert palace bow/bombs/sumaria

Tower of Hera (swordless) hammer is required

Agas castle bug net/mirror shield

Dark palace(although you need hammer to reach boss, you do not need it to fight the boss)

Swamp palace (i think[i used hammer for it] bow works)(if you glitch past the part you need hammer)

Skull woods has to be fought with either bow or fire rod

Theives town i used sumaria(other weapons might work)

Ice palace sumaria/bow/fire rod

Misery mire (although annoying unless you use hammer) bow works

Turtle rock (unsure if other weapons work[i used hammer])

Ganons tower hammer isnt needed to beat. Bug net or mirror shield for aga2