Possible, and many T1's who get it later in life have a misdiagnosis of T2 first, not always with weight loss.
But most people diagnosed with T2 are T2, T1 is much rarer.
The symptoms you describe are symptoms of high blood glucose, no difference with T1 or T2.
What is it that makes you think of T1? Have you changed your eating habits in any way? According to your profile you're on metformin. Metformin helps a little but usually isn't enough without adjusting your diet.