Generally, no it's take it or leave it.

Almost everything is determined by either the contract, seniority, or both. They cannot offer noobs more money or other financial incentives than the contract allows.

They cannot offer other incentives such a specific domicile because that would violate seniority, and thus the contract again. Even a non-union shop will be loathe to violate the seniority system because that would be the fastest way management could acquire a union they'd probably rather not have.

One thing they usually can do... if they operate multiple fleet types, you might be able to request a specific fleet type. You might even be able to drop an ultimatum (in an even-keeled professional manner), ie threaten to take a job at another airline. This is not the historical norm, but might work in today's market conditions. Be prepared to have your bluff called, also likely that the plane you want will have a later class date. The only good reason to hold out for a specific type is if it's the quickest path to the domicile you want, or if it has a faster upgrade that you'd be legal to take advantage of.