yes. when looking to change positions, i usually interview with multiple companies and usually have been lucky to get several job offers. then it's just a matter of comparing offers: the work (who i'll be working with, who i'll be working for, long and short-term projects, title, career advancement, etc.), compensation package (salary, stocks, signing bonus), benefits (vacation, retirement - sp company match, health insurance, stock purchase plans, etc...), company culture (reporting structure, freedom, flexibility, cooperative, gossipy, back-stabbing, etc.), management team (vp, evp, c-levels make a difference because they set the tone for a lot of things), company health (established or start-up, financials).
for me, work and company culture are most important as long as the compensation is what i consider reasonable. and really, compensation is the most easily negotiated aspect of the offer. most recently, i had offers from companies A and B. i liked the work and culture of A better but B had a more generous package. i asked A if they would match B's salary and bump my stock options up. A did so i went with them.