The short answer is "it depends".
It depends on why you struggle with your control.
If it something like the morning liver dump making it difficult to set your basal rates, yes it would: the key value of a pump is that it allows you to set different basal rates at different times of the day.
If it is because you often hypo during exercise, yes it would: you can set temporary basal rates for an hour or more which you can adjust during times when your BG is typically higher or lower.
If it is because you struggle counting your carbs, it will not help: the pump has more control which means you need to be more accurate with your carb counting.
And then you have to consider how you feel about having something attached to you 24x7, how you feel about trusting it for your life, how you feel about attaching a cannula every 3 - 4 days, how you feel about having your diabetes on show (usually, a pump is more obvious than injections unless you have a tubeless one which is typically more expensive), how do you feel about jumping through the hoops to get a pump (this varies per CCG but often you need to go on a DAFNE-type course), how do you feel about setting up the pump when you first get it (this may take some trial and error, time and some problems during the first month or so),...
It is definitely work asking your consultant - they know you and your problems with control better than most of us.
I have a pump and find it very useful but it doesn't come for free.