In my opinion .... Absolutely! I was diagnosed in December and I am eating the same as I did before - I have chocolate, biscuits, desserts - it's no problem if you can correctly calculate your carb ratio and bolus accordingly for the food type (and it certainly helps if you exercise regularly as well). Some people prefer low carb diets because it's easier for them to manage their insulin doses but it's really a personal thing and you can do whatever works for you. When I was first diagnosed I remeber thinking I'd never be able to have high carb food again - it's not been the case at all and I've maintained a great HbA1C and have got my post meal spikes down by injecting my rapid insulin sometimes up to 45 mins before eating. It's all about getting used to how you react to different foods: for example, if I have a sugary drink I know it'll spike my blood sugar very quickly so I try to bolus half an hour before. Conversely, a burger (even with the roll) will spike slowly because of the fat, so I'd usually have to bolus a small amount right before and then follow up a few hours later with another dose.
I'm on holiday right now and yesterday completely over indulged on pizza and other higher carb foods (plus lots of ice cream and dessert!) and - although it took a bit of pre-planning and effort to time my insulin appropriately - it worked out fine! As you may be aware, you're probably in "honeymoon" period right now, so your pancreas is still helping out a little bit - realise it may get harder over time but certainly make use of it whilst you can. There is no one rule fits all so you just need to take the time (and lots of trial and effort - there WILL be times in goes wrong and you spike high!) to work out what is best for you. I'd also recommend you look at the Freestyle Libre: it's really helped me keep my eating and exercise habits as "normal" as possible. Good luck!