If by "up for renewal in November", you mean that this is the date when any early termination fees would cease to apply, then you should certainly see what is available now - fixed rate offers are starting to change and rates creep up. However, you may need to wait a couple of months as any offer in principle from a lender would have a fixed timescale - it is unlikely this would cover the 5 months or so you appear to be looking for.

If there are termination fees, it depends how much they are, balanced against getting a better deal now, rather than later - there are online calculators that give you an idea of this.

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