Brief Answer:
Yes but heart problem needs to be ruled out first

Detailed Answer:
Sorry to learn about your bothersome symptoms.

Although heart related pain typically does not occur in the way you are describing your discomfort, it is important to ensure it is not a worrisome heart issue.

So see your family doctor or endocrinologist or cardiologist and discuss the potential need for such an evaluation.

Then once this is sorted out, other possible reasons can be considered.

Diabetic peripheral neuropathy tends to affect both legs first followed by hands. However this is the most common type of diabetic neuropathy. There are various other kinds, and the symptoms you are experiencing can be due to some spinal cord problem with nerve root compressions. Diabetes can affect these nerves and make the problem worse. But there can be other reasons which are not related to diabetes such as disc prolapse resulting in the pattern of nerve pain you are reporting.
When I see someone like you in my practice, I typically order the following blood tests in addition to a detailed physical examination:

CBC (Complete Blood Count, also known as Hemogram; includes Hemoglobin, WBC and Platelet counts)
Electrolytes (Sodium and Potassium in particular)
HbA1c (Glycosylated Hemoglobin = your last 3 months' glucose average). Also known by other names such as GlycoHemoglobin or Glycated Hemoglobin or A1c
Liver function tests (SGOT , SGPT, Albumin, Bilirubin, Alkaline Phosphatase)
Kidney function tests (BUN, Creatinine)
TSH (checks your thyroid)
12 hour Fasting Lipid profile
Urine albumin to Creatinine Ratio (early sign of diabetes affecting the kidney)
25 hydroxy Vitamin D levels (ideal range 40 to 60 ng/ml = 100 to 150 nmol/liter)

Correct diagnosis and treatment for this compliant requires the opportunity to examine the patient so you must see an Neurologist in-person.

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