Short Answer is YES. See the following extract of AR 670-1 for more information.
1–15. Wear of eyeglasses, sunglasses, and contact lenses
a. Wear of eyeglasses and sunglasses.
(1) Conservative civilian prescription eyeglasses are authorized for wear with all uniforms.
(2) Conservative prescription and nonprescription sunglasses are authorized for wear when in a garrison environment, except when in formation and while indoors. Individuals who are required by medical authority to wear sunglasses for medical reasons other than refractive error may wear them, except when health or safety considerations apply. Soldiers may not wear sunglasses in the field, unless required by the commander for safety reasons in highglare, field environments.
(3) Restrictions on eyeglasses and sunglasses. Eyeglasses or sunglasses that are trendy, or have lenses or frames with initials, designs, or other adornments are not authorized for wear. Soldiers may not wear lenses with extreme or trendy colors, which include but are not limited to, red, yellow, blue, purple, bright green, or orange. Lens colors must be traditional gray, brown, or dark green shades. Personnel will not wear lenses or frames that are so large or so small that they detract from the appearance of the uniform. Personnel will not attach chains, bands, or ribbons to eyeglasses. Eyeglass restraints are authorized only when required for safety purposes. Personnel will not hang eyeglasses or eyeglass cases on the uniform, and may not let glasses hang from eyeglass restraints down the front of the uniform.
b. Restrictions on contact lenses. Tinted or colored contact lenses are not authorized for wear with the uniform. The only exception is for opaque lenses that are prescribed medically for eye injuries. Additionally, clear lenses that have designs on them that change the contour of the iris are not authorized for wear with the uniform.
