Yes. it should be possible. as an example i found this from the Errors and Exceptions documentation of python.
In this example the exceptions are put on a list. The list is iterated in the for loop and the exceptions are raised one by one..
class B(Exception):
    pass
class C(B):
    pass
class D(C):
    pass
for cls in [B, C, D]:
    try:
        raise cls()
    except D:
        print("D")
    except C:
        print("C")
    except B:
        print("B")
For your purpose maybe it would look something like:
class Userdoesnotexist(Exception):
    def __init__(self, message):            
        # Call the base class constructor with the parameters it needs
        super().__init__(message)
class Userexists(Exception):
    def __init__(self, message):            
        # Call the base class constructor with the parameters it needs
        super().__init__(message)
def lambda_handler(event, context):
    verif = boto3.resource('iam')
    client_iam = boto3.client('iam')
    user = verif.User('Tom')
    try:
        user.load()
        if verif.exceptions.NoSuchEntityException:
            raise Userdoesnotexist("user does not exist.")
        if ex.response['Error']['Code'] != 'NoSuchEntityException':
            raise Userexists("user exist.")
Probably it is not perfect but you could take a look to this thread.