Yes you can change your tourist visa to a NonB visa here.
You need some documents from the company as well as some steps you have to do by your own.
1st of all you need a police clearance in Thailand so the company will give you a paper and you have to go to the main police centre in Bkk and it might take minimum of 10 to 15 days.
After that the company will get a letter from an area office and will prepare loads of other documents so then you can go to immigration to apply for non B .
Note it,if they required you degree ,you must verify and translate it to thai language as well ,after you can apply for non b visa .
But the immigration there need at least 15 spare days for the process of your non b visa so they will ask you to extend your tourist visa for one more month and you must do that.
I just recently got my non b i have changed it from tourist visa ...