Since the product is probably being offered for sale to the public, you probably can't patent it.
You can patent the product if all of the following conditions hold:
1. you are the inventor
According to 35 U.S. Code § 101 's preamble:
Whoever invents or discovers any new and useful process, machine,
manufacture, or composition of matter, or any new and useful
improvement thereof, may obtain a patent therefor, subject to the
conditions and requirements of this title.
2. It hasn't been disclosed before
35 U.S. Code § 101
(a) A person shall be entitled to a patent unless—
(1) the claimed invention was patented, described in a printed
publication, or in public use, on sale, or otherwise available to the
public before the effective filing date of the claimed invention; or
(2) the claimed invention was described in a patent issued under
section 151, or in an application for patent published or deemed
published under section 122(b), in which the patent or application, as
the case may be, names another inventor and was effectively filed
before the effective filing date of the claimed invention.
3. it is not obvious
35 U.S. Code § 103
A patent for a claimed invention may not be obtained, notwithstanding
that the claimed invention is not identically disclosed as set forth
in section 102, if the differences between the claimed invention and
the prior art are such that the claimed invention as a whole would
have been obvious before the effective filing date of the claimed
invention to a person having ordinary skill in the art to which the
claimed invention pertains. Patentability shall not be negated by the
manner in which the invention was made.