As times are tough and money is tight I wouldn't think of going
someplace by plane if it isn't mandatory.
But for a senior position in any branch of the company it would be perfectly normal, that
there is a budget for business expenses and one for further education. In some companies,
I know, senior staff even has to book a fixed set of hours into training (of your liking) every
year. It is seen very critical, that the most important players in the team do the least training
due to time constraints.
Not having a budget at all for training sounds very unlikely to me. Talk not only to your direct
boss, but to human resources as well.
I am not young enough to know everything.