In everyday use, yes. Net profit and net income both describe what is left after all costs, expenses, interest and tax have been deducted from revenue — the bottom line of the profit and loss account. “Net profit” is the more common term in UK accounts; “net income” is more common in US reporting.
The one thing worth checking is whether a particular figure is stated before or after tax. UK accounts often present profit before tax and profit after tax as separate lines, and people sometimes use “net profit” loosely for either. When comparing two sets of figures, make sure you are comparing the same line.
Also be aware that “net income” occasionally appears in a personal finance context to mean take-home pay after deductions. Context normally makes the meaning obvious, but it is worth confirming when reviewing documents that mix business and personal figures.
If precision matters — for a lender, an investor or a tax return — ask your accountant to confirm which measure a specific document is using. This is general information, not accounting advice.