Not even close.
Murder
A murder occurs when a person intentionally, by a wilful act or omission, causes the death of another human being, or means to cause bodily harm that the person knows is likely to cause death.
First degree murder occurs when:
(a) it is planned and deliberate; or
(b) the victim is a person employed and acting in the course of his/her work for the preservation and maintenance of the public peace (e.g. police officer, correctional worker); or
(c) the death is caused by a person committing or attempting to commit certain serious offences (e.g. treason, kidnapping, hijacking, sexual assault, robbery and arson).
Second degree murder is all murder that is not first degree.
Manslaughter
Manslaughter is culpable homicide that is not murder or infanticide. Culpable usually means that the death occurred while in the commission of another criminal offence.
Unless he planned in advance to deliberately shove her off the bike to kill her, it's not 1st degree murder.
Unless he deliberately (but without advance planning) pushed her off the bike in hopes of killing her, it's not 2nd degree murder.
If she accidentally fell off the bike as a direct result of him trying to flee police, a manslaughter charge would fit because it happened while he was engaged in egregious criminal conduct (flight from police).