To my knowledge there is no direct way to do this at the moment. But if you use the correct combination of xaxis zeroline and annotations for the y-values, you can get this:

The code snippet below takes the max and min for the y-values, builds a list of that interval with a defined number of steps, and inserts annotations for those steps. It's not very elegant, it fails a bit when you try to zoom, but it works. At least now you don't have to try a similar approach yourself.
Complete code:
import plotly.graph_objects as go
import numpy as np
x = np.arange(-4,5)
y=x**3
yticks=list(range(y.min(), y.max(), 14))
#yticks.append(y.max())9
fig = go.Figure(data=go.Scatter(x=x, y=y))
fig.update_layout(xaxis = dict(zeroline=True,
zerolinecolor='firebrick',
title_text = "x zeroline",
title_standoff = 4))
fig.update_layout(yaxis = dict(zeroline=True,
showgrid=False,
title_font = {"size": 20},
tickfont= dict(color='rgba(0,0,0,0)')))
for i, m in enumerate(yticks):
fig.add_annotation(dict(font=dict(color='firebrick',size=12),
x=0.066,
y=yticks[i],
showarrow=False,
text=str(yticks[i])+' -',
textangle=0,
xanchor='right',
xref="x",
yref="y"))
fig.show()