I've done quite a lot of activist work around the issues of genetic engineering, but I don't think anyone can decidedly say, yes or no to your question. The general guideline that I go by is that if I am buying something that is not organic, and it is a food product/crop that I know is among those that are genetically engineered, then I typically assume that it probably is. Genetically engineered products in our food is an interesting issue - it's nice to be able to buy things that are GMO free, but in my society at least that often corresponds to income. While I try to buy organic and local and such as available, I am not always able to afford to. So my strawberry plants are not organic ones. It's also about considering how things are typically altered. Strawberries often have fish genes inserted, in theory to help make them frost resistant (how do they come up with this nonsense!). Corn is often "BT" corn - and while "BT" does naturally occur ON the corn plant (it's a bacteria) and helps deter bugs, it isn't supposed to be actually genetically a part of the plant, in every cell of the plant, you know? So sometimes it comes down to choosing your frankenfoods wisely. Your strawberries? Maybe, maybe not. If you have the stakes with the company name, you could contact them to try to find out their policies. With our plants, we decided to take the "Oh well!" route and buy them, but it will be nice to have organic plants when we have a home of our own one day - fresh organic strawberries eaten straight off the plants are the best!
Not sure if that helps at all
: I can send you some resources and such on GMOs if you are interested, just let me know.