That seems to be the case, as stated within the language previously posted (i.e., the procedures up above, at post #1004). Here's more particular information as pertains to this bill:
SUMMARY OF SPECIFIC PROVISIONS:
The bill would provide the means and procedures by which statewide elected officials, that is the Governor, Lieutenant Governor, Attorney General and Comptroller, may be recalled and removed from office prior to the expiration of the terms for which they have been elected. Section 1. Resolved (if the Assembly concur), That article 20 of the constitution be renumbered article 21 and a new article 20 be added. JUSTIFICATION : Currently, the Constitution of fourteen states authorizes the removal of state officers from office by means of recall. Voters in these states are fortunate to have an additional means for ensuring proper representation and ethical conduct by their public officials. Once an official is elected in New York, however, unless he/she is convicted of a felony or falls within other provisions of the laws of this State, he/she cannot be removed from office. This amendment provides a procedure whereby the electorate can remove from office an official who has not properly discharged his/her duties to the electorate.
If this is the whole language of the recall bill then a Federal Senator is not subject from what I read. This is another real good arguement for repealing the 17th BTW. Make the Senator's answerable to the State Legislatures again and folks will pay attention. A 6 year term has a considerable longer period of insulation when compared to a 2 year Representative (elected) term.