DD was only a tiny bit on the small side, and for a first baby and a girl, I would not be especially freaked out. DS again on the smaller side of average but still a normal weight.
I went for a HBAC with my second after a crash CS under GA for DD who was also a brow.
My plan basically said - no induction or augmention whatsoever - the risk of rupture with a VBAC is very small but induction increases the risk significantly.
My plan was essentially - I will go into labour when baby is ready and hopefully it will come out ok. If things are not going right I will have a CS. No alternative.
In the event, I had a long latent stage again, but then went into active labour, but then had 'failure to progress' - or slow progress as my HB friendly MW called it!
I was upright, mobile, labouring at home so I was happy I had done all I can to have a normal delivery. I transferred to hopsital and asked for a CS. They will very unwilling, and told me they would give me an epidural and break my waters.
I told them they wouldn't.
As I had been labouring a good while with no progress and I had refused their kind offer, I got my CS. It was lovely to be awake, I had a spinal block. Incidentally the cord bloods showed baby was getting distressed when they got him out, so I was absolutely right to insist on no intervention and straight to section.
My aim was to avoid a crash section at all costs - I didn't care too much whether I had a VB or a CS to be honest, I just didn't want to experience the fear and trauma I had the first time round, so my priorities may be different to yours.
But yes, you can refuse induction. Or anything else.
Many consultants would not entertain the idea of inducing a VBAC at all, and I would not consent to it personally.
Would recommend having a look at the RCOG guidelines
I am a HCP myself and was confident to refuse after doing all my research, I remained bolshy even in labour, but it is hard when they are trying to persuade you.
Do have a good look at your options and decide what is acceptable to you, and ensure your birth partner is aware of your preferences so they can back you up. I would look particularly at whether you want to avoid things like continuous monitoring, epidurals etc as they will reduce your mobility - which can affect your progress and your comfort.