No. It's an old English name, like Beverly. In both names, the ly ending means meadow or forest clearing, and the prefix describes that meadow. In the case of Bently, the meadow is dominated by bentgrass, sometimes called just bent. (Beverly refers to a bever meadow.)
In the early to mid 20th century, many Jewish parents gave their children very non-Jewish names in order to protect their children from discrimination. Some names, like Irving and Irwin became so common in Jewish circles that people now associate them with being Jewish, despite the fact that their origin is as are ultra "anglo" names. Bently does not seem to be in this category.
Jay Bentley's birth name is James Bentley.
Bentley Shuster's birth name is Bentley Morgan Shuster.
Beatrice Bentley's birth name is Beatrice Clara Bentley.
Matt Bentley's birth name is Matthew James Bentley.
Phyllis Bentley's birth name is Phyllis Eleanor Bentley.
Wes Bentley's birth name is Bentley, Wesley Cook.
Max Bentley's birth name is Maxwell Herbert Lloyd Bentley.
Bentley Mitchum's birth name is Christopher Robert Bentley Mitchum.
Dierks Bentley does not have a middle name... his name Dierks Bentley is actually composed of two family names.... Dierks was originally his mother's maiden name... and Bentley is his father's last name... thus the name Dierks Bentley... no middle name, just because...
Warren Bentley Short's birth name is Warren Bentley Short.
Dean Dallas Bentley's birth name is Dean Dallas Bentley.
Beverly Bentley's birth name is Beverly Rentz.