You can do some research on growing vegetables in a green house (expensive and lots of work) or starting plants from seeds inside 6–8 weeks before you transplant them into the garden.
You can certainly try a few pots of tomatoes grown from seeds on a sunny windowsill but you may have white flies. Start the seeds in Feb.; if it doesn’t work, toss the whole thing on the compost.
Here’s how to jumpstart veggies indoors under grow lights. Grow
However, your fantasy of picking tomatoes off of plants in your living room in February is just that. Notice how crappy the tomatoes are in the supermarket in the winter. There is a reason for that.